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 January 9th, 2011, 06:54 AM #1 Senior Member   Joined: Oct 2010 Posts: 126 Thanks: 0 Ratios How do I solve this? In an election for senior class president, Alice received 30 votes more than David. If the ratio of the number of votes Alice received to the number of votes David received was 8 to 7, how many votes did David receive? I have two unknowns: # of votes David receives = 7/15 times some number to give 30 + some number.
 January 9th, 2011, 07:27 AM #2 Newbie   Joined: Jan 2011 Posts: 22 Thanks: 0 Re: Ratios If the ratio is 8:7 doesn't it just mean that David received 7*30 votes, which is 210? Or am I missing something silly Or using simultaneous equations: a - 30 = d 7/8a = d 8a - 240 = 8d 7a = 8d a - 240 = 0 a = 240 d = 210
January 9th, 2011, 07:45 AM   #3
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Re: Ratios

Hello, Chimoo!

Quote:
 If the ratio is 8:7, doesn't it just mean that David received 7x30 votes, which is 210 ? Or am I missing something silly? [color=beige] . [/color] [color=blue] no![/color]

Absolutely correct!

A terrific "eyeball" solution!

January 9th, 2011, 08:07 AM   #4
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Re: Ratios

Quote:
 Originally Posted by Chimoo If the ratio is 8:7 doesn't it just mean that David received 7*30 votes, which is 210? Or am I missing something silly Or using simultaneous equations: a - 30 = d 7/8a = d 8a - 240 = 8d 7a = 8d a - 240 = 0 a = 240 d = 210
Delightful! I wouldn't have seen that in a million years! Thank you

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