The ratio between Frances and Carolina's weight is 8: 7, if Carolina weighs 168 pounds, how much does Frances weigh?
1 answer:
Answer: 192 pounds.
Step-by-step explanation:
Let x denotes the weight of Frances ( in pounds ).
Given : The ratio between Frances and Carolina's weight is 8: 7
If Carolina weighs 168 pounds, then using proportion s we have the equation below :-
![\dfrac{x}{168}=\dfrac{8}{7}\\\\\Rightarrow\ x=\dfrac{8\times168}{7}\ \ \text{[Multiply 168 on both sides]}\\\\\Rightarrow\ x=8\times24=192](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B168%7D%3D%5Cdfrac%7B8%7D%7B7%7D%5C%5C%5C%5C%5CRightarrow%5C%20x%3D%5Cdfrac%7B8%5Ctimes168%7D%7B7%7D%5C%20%5C%20%5Ctext%7B%5BMultiply%20168%20on%20both%20sides%5D%7D%5C%5C%5C%5C%5CRightarrow%5C%20x%3D8%5Ctimes24%3D192)
Therefore, the weight of Frances = 192 pounds.
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