High School

After making the swim team, Farrah purchased a swimsuit, a swim cap, and a pair of goggles. The swimsuit was twice as much as the goggles, and the swim cap was half the price of the goggles. If the total cost of the items was $59.50, what was the price of the swimsuit?

Answer :

By using linear equation, When the swimsuit was twice as much as the goggles and the swim cap was half the price of the goggles. If the total cost of the items was $59.50, then the price of the swimsuit is $34

The total cost of the items = $59.50

Consider the cost of goggles = 2x

The swimsuit was twice as much as the goggles

The cost of the swimsuit = 4x

Swim cap was half the price of the goggles

The cost of the swim cap = x

Then the price of the items = The cost of goggles + The cost of the swimsuit + The cost of the swim cap

Substitute the values in the equation

2x + 4x + x = 59.50

7x = 59.50

x = $8.5

The cost of the swimsuit = 4x

= 4×8.5

= $34

Hence, by using linear equation, when the swimsuit was twice as much as the goggles and the swim cap was half the price of the goggles. If the total cost of the items was $59.50, then the price of the swimsuit is $34

Learn more about linear equation here

brainly.com/question/11897796

#SPJ1