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me. Class Date: Problem Solving Solve the word problems. were 80singers in asings, The averag e sale singers O singers in a singing competition. The average score given singer was 58.5 points. The average score of the female singers ds o4 points and the average score of the male singers was 56 points. for each Ho w many male singers participated in the competition?

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Jul-07-2018
GUIDE: draw bar models for boys & girls using same units U, then solve
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Sep-21-2018
From after:1P + 3U = 850   -> 1P = 850 - 3U3P + 1U = 350so3 ( 850 - 3U ) + 1U = 3502550 - 9U + 1U = 350U = 2200 ÷ 8 = 275P = 850 - 3 ( 275 ) = 25---So red balls to move from A to B = 250 - P= 250 - 25= 225  (ans)---So blue balls to move from A to B = 200 - 3P= 200 - 3 ( 25 )=125  (ans)
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3 weeks ago
1 Deal = For every $80, you get 11 sets (11 people served)$264 ÷ $80 = 3.3 Deals = 3 Deals maximum-> 3 × 11 sets = 33 sets  (33 people served)---Remainder = $264 - 3 ( $80 ) = $24$24 ÷ $8 = 3 sets  (3 people served)---Total people = 33 + 3 = 36  (ans)
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Jan-10-2018

Assuming the given equation equals 20, let's solve for 'm".

3 + 3m -1 + 6m = 20

2 + 9m = 20

9m = 18

m = 18 ÷ 9

m = 2

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Aug-06-2018
Nathan, if you receive an alternative answer in class, do share it here. I am sure other students will be keen to know too. Thanks :)
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a week ago
D's Cookies = K's cookies( 130 × Days ) + 74 = ( 133 × Days ) + 323 Days = 42Days = 14---Cookies per person = ( 130 × 14 ) + 74 = 1894  (ans)---ORCookies per person = ( 133 × 14 ) + 32 = 1894  (ans)
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Jul-22-2018
173 ( n - 5) = 173(n) - 173(5)                    = 173n - 865
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Aug-10-2018
From P & L, where U is initial parts,9U - 12 : 8U - 60 ->   6 : 55 ( 9U - 12 ) = 6 ( 8U - 60 )45U - 60 = 48U - 3603U = 300U = 100---Total fruits in the end = (2U + 9U + 8U) - (52 + 12 + 60 )                          = 19 (100) - 124                          = 1776  (ans)
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3 days ago
A Amount = B Amount + $1.40(0.5 × U) = (0.2 × 2U) + 1.4    (U is no. of coins)0.5U = 0.4U + 1.40.1U = 1.4U = 14---No. of 20 cents = 2U = 28 coins  (ans, a)Total money = (0.5 × U) + (0.2 × 2U)= (0.5 × 14) + (0.2 × 2 × 14)= 7 + 5.6= $12.60  (ans, b)
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3 days ago
R = B + 2.403 R + 2 B = 44.203 ( B + 2.40 ) + 2 B = 44.203 B + 7.20 + 2 B = 44.205 B = 37.00B = $7.40R = 7.40 + 2.40 = $9.80  (ans) 
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6 days ago
Refer to diagram below:AB = 8.5 cm  (ans)AC = 9 cm  (ans)
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4 weeks ago
Hi Skyler, the answer is 4. Symmetrical means objects are the same form and orientation across the line. An easy way is to think of the line as a mirror.
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Sep-16-2018
50 - 25 - 310= 50 - 410 - 310= 50 - 710= 49310  (ANS)
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Sep-08-2018
Good one! Short hand refers to the hours & long hand refers to minutes. Each number on minute hand represents 5minutes.
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Sep-08-2018
Row # × 3 = largest no. in the row---Row 10 -> 10 × 3 = 30So in row 10, numbers are 30, 29 , 28  (ans, a)---Row 31 x 3 = 93 ->  93, 92, 91So 91 is in row 31  (ans, b)---Row 33 × 3 = 99 -> 99, 98, 97So 98 & 99 are in row 33  (ans, b)---Row 100 × 3 = 300 -> 300, 299, 298So sum = 300 + 299 + 298 = 897  (ans, c)
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Sep-06-2018
Hi Dhana, you are right when you say "Half past six", but if the short hand has not crossed 6 (as in ans 2), then it has not past six yet. The answer should be (1)
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Sep-05-2018
Total parts (each part is u) = ( 7u + 3u ) + ( 7u + u ) = 18uMen's = 7u + u = 8uSo fraction of men = 8u18u= 49  (ans)
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Aug-22-2018
So the idea is that the sum of shortages and extrasis what needs to be distributed back to the packs in case A for it to be the same as case B.Since the difference in pack size is 1,then the 7 (sum of shortages and extras)will have to be distributed back 7 times.From this we deduce that the amount of pupils is 7.
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Aug-12-2018
U = 35 m/minA -> 8U = 8×35 = 280 m/min  (ans, b)B -> 7U = 7×35 = 245 m/min---Speed = DT  ->  D = STFrom B,  D = 280 × 42 = 11760 m---Time taken for B = 11760245 = 48 minsSo B complete at ->  8.00am + 48 mins = 8.48 am  (ans, a)
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Aug-12-2018
For K, 60 = 270T            T = 4.5h---P travelled for -> 4.5 - 2 = 2.5hFor P,  Speed = 2702.5 = 108 km/h---At 3pm, K & P travelled for 6h & 4h respectivelyDistance apart = 108 ( 4 ) - 60 ( 6 )                         = 72 km 
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Aug-05-2018
Triangle BCG is isosceles, because BG = BCSo BCG =180 - 302  = 75°So GBE = 30° + CBE---CBE = BCG = 75°---a) So GBE = 30° + 75° = 105°---b) GCD = 90° - BCG  = 15°So DGC = 180 - 2(15) = 150°
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Jul-26-2018
Hi Sryl, but this is neither P1 math nor Picture Graph :) But you can solve this by forming quadratic equations. Clue: 6 = 2 x 3 & 5 = 2 + 3. Answer & working inside.
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Jul-25-2018
Hi Rui Qi, I see you are exploring the app... that's good! You can also take a photo of the question on mobile (go onto Mathemate's mobile site).
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Jul-06-2018
60×0.30 = 18 (total amount of discount)18-0.4 = 17.60 (total amount spent on extra 8 oranges)18 ÷8 = 2.20 ( cost of each orange after discount)cost of each orange after discount = $2.20
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Jun-22-2018
GUIDE: express number of cards bought on 5th day in 2 ways, then solve
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May-30-2018
If you rotate the shaded triangle, there will be a point when all the 3 corners of that triangle touches the outer big triangle.From that we can deduce the area of the big triangle is 4 times that of the shaded triangle.So area of unshaded  part is 34Ans:( 3)
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Mar-03-2018

 $\frac{1}{2}$12  $\frac{1}{4}$14  + $\frac{1}{8}$18  

=  $\frac{4}{8}$48  +  $\frac{2}{8}$28  +  $\frac{1}{8}$18  

=  $\frac{7}{8}$78  

She spent  $\frac{7}{8}$78  of her money

 

1 -  $\frac{7}{8}$78  =  $\frac{8}{8}$88  -  $\frac{7}{8}$78  =  $\frac{1}{8}$18  

 $\frac{1}{8}$18  ×200 = 25

She was left with $25 

 

 

 

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Feb-06-2018

  $\frac{2}{10}$210  $\frac{3}{5}$35  

=  $\frac{2}{10}$210  + $\frac{6}{10}$610  

=  $\frac{8}{10}$810  

$\frac{4}{5}$45  

  

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Feb-04-2018

Total households = H

Households with 1 car = $\frac{1}{4}$14  H =  $\frac{4}{16}$416  H

Households with 2 cars = $\frac{7}{16}$716  H

Households with 3 cars = $\frac{1}{8}$18  H =  $\frac{2}{16}$216  H

Ans (a):

Fraction of household with no cars = 1 - $\frac{4}{16}$416  -  $\frac{7}{16}$716   -  $\frac{2}{16}$216  =  $\frac{3}{16}$316  

Ans (b):

Total cars =  $\frac{4}{16}$416  H (1) +  $\frac{7}{16}$716  H (2) +  $\frac{2}{16}$216  H(3) +  $\frac{3}{16}$316  H(0) = 1680

$\frac{24}{16}$2416  H = 1680

H = 1120

No of households with 0 cars =  $\frac{3}{16}$316  (1120) = 210