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By: JessicaTan (offline)  Saturday, August 04 2012 @ 03:32 AM CDT (Read 930 times)  
JessicaTan

Hi can someone helps me these two questions please,

Q1) There are some coins in a piggy bank. 1/4 of the total number of coins is 20 cents coins. 1/2 of the remainder is 50 cents coins and the rest is 10 Cents coins. The total value of the coins is $11. How many coins are there in the piggy bank?


Q2) Each of the girls of a certain class brought 6 sweets to a party. The sweets were shared equally among the 26 boys of the class and no sweet was left.
a) Altogether, how many sweets did the girls bring to the party if the class has fewer than 43 pupils?
b) How many pupils are there in the class?


Rdgs
JessicaTan

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By: echeewh (offline)  Sunday, August 05 2012 @ 09:39 PM CDT  
echeewh

Hey Jessica,

Following pls find my worked solutions:

Q1

20cents: (1/4) = (2/8) total
50cents: (1/2) x (3/4) = (3/8) total
10cents: (3/8) total

Using <Number x Value> method, we have ...

(2u x 20) + (3u x 50) + (3u x 10) --> 1100
40u + 150u + 30u --> 1100
220u --> 1100
1u --> 5

Total coins = 8u --> 8 x 5 = 40

=====================================

Q2

(a)

Given that the class has less than 43 pupils, so maximum number of girls in class = 42 - 26 = 16

Working backwards, we have the following (with each G bringing 6 S) ...

G: 16 15 14 13 12 11 10
S: 96 90 84 78 72 66 60


Since 78 is a multiple of 26, there were 78 Sweets.

(b)

Number of pupils = 26 + 13 = 39

===================================

Trust this helps.

Do let me know again if these do not match your Answerkey or if theres any clarification.

Cheers,
Edward

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By: JessicaTan (offline)  Monday, August 06 2012 @ 02:14 AM CDT  
JessicaTan

Thanks for your help Edward

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