Question

Steve & Marlon shared up $221 in the ratio 5: 8.

If Steve is given 11 more dollars, what is the new ratio, Steve: Marlon?
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Answer 1

Explanation:

Firstly, Steve and Marlon shared 221 dollars and their ratio is 5:8

Since a every sector in the ratio is worth the same. We can do 221 / (5+8) and that means we can figure out that every sector in 221 dollars is worth $17.

Currently, Steve then has $17 * 5 = $85. And Marlon has $17 * 8 = $136.

In the second half of the question it says Steve has been given $11 more. So Steve now has $85 + $11 which is $96.

So the ratio is 96 : 136 but we have to simplify the ratio to get it first.

The highest common factor (HCF) between them is 8 so the simplified ratio is 96/8 : 136/8 which is 12 : 17

The correct answer would be 12 : 17.

Answer 2

first of all let's check how much each one had when it was 5:8 hmmm well, the total amount was $221, let's divide that by (5 + 8) and distribute accordingly to each.

`\stackrel{Steve}{5\cdot \cfrac{221}{5+8}} ~~ : ~~ \stackrel{Marion}{8\cdot \cfrac{221}{5+8}}\implies \stackrel{Steve}{5\cdot 17} ~~ : ~~ \stackrel{Marion}{8\cdot 17}\implies \stackrel{Steve}{85} ~~ : ~~ \stackrel{Marion}{136}`

then Steve got 11 bucks more, so he's got now 85 + 11, so

`\cfrac{\stackrel{Steve}{85~~ + ~~11}}{\underset{Marion}{136}}\implies \cfrac{\stackrel{Steve}{96}}{\underset{Marion}{136}}\implies \cfrac{8\cdot 12}{8\cdot 17}\implies \cfrac{8}{8}\cdot \cfrac{12}{17}\implies 1\cdot \cfrac{12}{17}~\hfill \boxed{\stackrel{Steve}{12}:\stackrel{Marion}{17}}`