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# Help

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The ratio of Ben's money to John's money was 9:4. After Ben spent $63 on books, the ratio became 1:2. How much more money did John have than Ben then? May 27, 2022 ### 2+0 Answers #1 +118574 +1 Initially Ben had 9x dollars and John has 4x dollars. Ben spends$63 so now   Ben has  9x-63   dollars and  John still has  4x dolllars.

This is in the ration 1:2

so

$$\frac{9x-63}{1}=\frac{4x}{2}\\ 9x-63=2x\\ 7x=63\\ x=9$$

You can finish it :)

May 27, 2022
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Let Ben's money = 2x

and John's money = y

Therefore x:y = 9:4

i.e x/y = 9/4 Cross multiply

4x = 9y -- (1)

After Ben spends $63 Ben's money becomes x - 63 x - 63 : y = 1:2 (x - 63)/y = 1/2 2(x - 63) = y 2x - 126 = y Input value of y in eq (1) 4x = 9(2x - 126) 4x = 18x - 1134 1134 = 18x - 4x 1134 = 14x 1134/14 = x x = 89 Since 4x = 9y 4 (81) = 9y 324 = 9y 324/9 = y 36 = y Ben's money =$81 and

John's money = $36 After Ben spends$63 his money

becomes $81 -$63 = $18 John becomes$(36 - 18) more = \$18 more

May 27, 2022