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seropon [69]
3 years ago
13

For a school fund raising project, Aiden and Jacob collected money in the ratio of 3.5 : 6.8. Jacob collected $115.50 more than

Aiden. Find the total amount of money they collected.
Mathematics
1 answer:
user100 [1]3 years ago
6 0
X - the amount of money collected by Aiden
y - the amount of money collected by Jacob

Aiden and Jacob collected money in the ratio of 3.5 : 6.8.
\frac{x}{y}=\frac{3.5}{6.8} \\
6.8x=3.5y \\
x=\frac{3.5}{6.8}y \\ x=\frac{35}{68}y

Jacob collected $115.50 more than Aiden.
x+115.5=y \\
x=y-115.5 \\ \\
x=x \\
\frac{35}{68}y=y-115.5 \\
\frac{35}{68}y-y=-115.5 \\
\frac{35}{68}y-\frac{68}{68}y=-115.5 \\
-\frac{33}{68}y=-115.5 \\
y=-115.5 \times (-\frac{68}{33}) \\
y=238 \\ \\
x=y-115.5=238-115.5=122.5 \\ \\
x+y=238+122.5=360.5

The total amount of money they collected is $360.50.
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Answer : 2 2/15


To begin you need to convert the fractions into something they both can go into. Sometimes it is easier to multiple the two denominator of the fractions, which in this case it is.
So, 3 times 5 is 15
This means your going to convert your fraction into 15th

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This is because you need to times the bottom by 5 in order to get 15, so you need to do the same with the top.

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