The ratio of Maya's money to Sophia is 3 : 7. Sophia has $64 more than Maya. If Sophia gives 14 of her money to Maya, what will be the new ratio?
3 Answers
Explanation:
If you add 64 to Maya's money it will be equal to Sophia's money.
as the ratio is 3: 7 whatever amount of money ( x) is in the ratio of the
3x + 64 = 7x Subtract 64 from each side of the equation
3x + 64 - 64 = 7 x - 64 this gives
3x = 7 x -64 Subtract 7x from both sides of the equation
3x - 7x = 7x - 7x - 64 this gives
-4x = -64 divide both sides by -4
x = 16
# 7 xx 16 = 112 for Sophia
Add 14 to Maya and subtract 14 from Sophia
48 + 14 = 62 for Maya
112 - 14 = 98 for Sophia
The new ratio is
31: 49 for the new ratio.
Explanation:
There is a difference of 4 parts between 3 parts and 7 parts.
The amounts differ by $64.
If 4 parts is 64, 1 part is 16.
The amounts of money are therefore
M : S
3 : 7
48 : 112
Sophia gives $14 to Maya:
62 : 98
31 : 49
Explanation:
With ratio you are comparing counts of a whole.
The ration of 3:7 means that the total count is 3+7=10
Showing the ratio in fractional format:
The difference in the amount of money at the start is $64. So
7 parts - 3 parts = 4 parts and the difference is $64
So 1 part is
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Check:
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Sophia gives $14