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
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