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Friday, August 18 2017 @ 03:39 AM CDT
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By: geniuskids (offline)  Sunday, August 18 2013 @ 04:38 AM CDT (Read 643 times)  
geniuskids

Hi there, pls help me with this question:

Q1): Harry and Sally were at a party. Harry shook hands with 4 times as many boys as girls while Sally shook hands with 5 times as many boys as girls. How many boys and how many girls were at the party?


Answer is 25 boys, 6 girls.

Q2) Tony had 15% more 50cents coins than 20cents coins. If there were 6 more 50cents coins than 20cents coins, how much money did Tony have?

Answer is $14.90 but my answer is $31.

Kindly explain the above concepts to me. Tx

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By: echeewh (offline)  Sunday, August 18 2013 @ 05:00 AM CDT  
echeewh

Hey <geniuskids>,

Your answer of $31 for Q2 appears correct. Thank you.

Following is my worked solution for Q1:

Q1.

*** - for alignment purpose

<H (B ) shook hands with others>

B : G * Total
4 : 1 **** 5 ** -- (1)

<S (G) shook hands with others>

B : G * Total
5 : 1 **** 6 ** -- (2)

Apply <Unchanged Total> concept to the ratios given as the total number of other children (boys + girls) in the party remains the same. In doing so, multiply (1) 6x; (2) 5x.

<H (B ) shook hands with others>

B : G * Total
24 : 6 ** 30 ** -- (3)

<S (G) shook hands with others>

B : G * Total
25 : 5 ** 30 ** -- (4)

Therefore,
B = 25
G = 6

=========

Trust this help.

Do let me know again if there's further clarifications.

Cheers,
Edward

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By: geniuskids (offline)  Monday, August 19 2013 @ 04:14 AM CDT  
geniuskids

Hi Edward,

Thank you for your help! Now I understand!

Cheers Big Grin

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