Problem 2 – SHSAT Question Lily spent one-fifth of her salary on a pair of new shoes and then received $90 as a birthday present from her mom. If Lily now has $340, how much money did she begin with?
A. $360
B. $340
C. $312.50
D. $280

$312.5

Step-by-step explanation:

Lily spent one-fifth of her salary on a pair of shoes and then got $90 as a birthday present from her mom and was left with $340. To calculate the amount Lily had at first goes thus:

Since Lily spent 1/5 on shoes, that means she had (1 - 1/5) = 4/5 left.

Let the amount she had at first be y.

(4/5 of y) + 90 = 340

(4/5 × y) + 90 = 340

0.8y + 90 = 340

0.8y = 340 - 90

0.8y = 250

Divide both side by 0.8

0.8y/0.8 = 250/0.8

y= 312.5

She had $312.5 at first.