Question

Paula goes to the store and buys a binder, a folder, and a highlighter. The highlighter's cost is half the cost of the binder, and the folder's cost is 3 dollars less then The binder. The total cost of the three supplies, with no tax is 9.50

Answer 1

Cost of the binder = $5

Cost of the highlighter = $2.5

Cost of the folder = $2

Explanation:

Let

Cost of the binder = x

Cost of the highlighter = 1/2x

Cost of the folder = x - 3

Total cost = $9.50

Total cost = Cost of the binder + Cost of the highlighter + Cost of the folder

9.50 = (x) + (1/2x) + (x-3)

9.50 = x + 1/2x + x - 3

9.50 + 3 = x + 1/2x + x

12.50 = 2x + 1/2x

12.50 = 2 1/2x

12.50 = 5/2x

x = 12.50 ÷ 5/2

= 12.50 × 2/5

= 25/5

x = $5

Cost of the binder = x = $5

Cost of the highlighter = 1/2x = 1/2*6 = $2.5

Cost of the folder = x - 3

= 5 - 3 = $2