Question

Asia and taryn each had the same amount of money. after asia spent $14 and taryn spent $22, the ratio of asia's money to taryn's money was 4 to 3. how much money did each girl have at first

Answer 1

It is given in the question that

Asia and taryn each had the same amount of money. after asia spent $14 and taryn spent $22, the ratio of asia's money to taryn's money was 4 to 3.

Let , initially, they both have $x each .

So according to the given question ,

$\frac{x-14}{x-22} = \frac{4}{3}$

Cross multiplication

$3(x-14) = 4(x-22) \\ 3x-42 = 4x-88 \\ 88-42 = 4x-3x \\ x = 46$

Therefore , initially, they both have $46 each .