Calvin goes shopping over the weekend and buys a new pair of shoes, a t-shirt, a pair of sunglasses, and a hat that costs $9. the shoes are twice as much as the shirt, and the sunglasses are half as much as the shirt. the total cost of his purchase is $65. how much does each cost?

Let the costs of shoes, t-shirt, and glasses be represented by s, t, g, respectively. The problem statement tells us these relationships:

... s = 2t

... g = t/2

... s +t +g +9 = 65 . . . . . the $9 cost of the hat is added into the total

Solution

Substituting for s and g, we have ...

... 2t +t +t/2 +9 = 65

... (3 1/2)t = 56 . . . . . collect terms

... t = 56/3.5 = 16 . . . . divide by the coefficient of t

The shoes are 2t, so $32.

The t-shirt is t, so $16.

The sunglasses are t/2, so $8.

The hat is $9.

hey! so 1 (25) out of 4 (100) is 25 so your answer is 25%. it's like quarters!