Question

Amyaris goes shopping. She spends one-fourth of her money on a pair of shorts, and one-third of her remaining money on a belt. If Amyaris has $42 left after these two purchases, how much money did she have when she started shopping?

Answer 1

Amyaris had $63 when she started shopping.

Step-by-step explanation:

To find out the amount of money Amyaris had when she started shopping, we need to work backwards. Let's assume Amyaris had $x when she started. She spent one-fourth of her money on shorts, which means she spent (1/4)x dollars. After this purchase, she has 3/4 of her money remaining.

Next, she spends one-third of her remaining money on a belt, which is (1/3)(3/4)x = (1/4)x dollars. After this purchase, she has 2/3 of her money remaining. If Amyaris has $42 left after these two purchases, we can set up the following equation:

(2/3)x = 42

To solve for x, we can multiply both sides of the equation by (3/2) to cancel out the fraction:

x = 42 * (3/2) = 63

Therefore, Amyaris had $63 when she started shopping.