Question

3. At a bargain store, Beast Boy bought 5 items that each cost the same amount. Cyborg bought 8 items that each cost the same amount, but each was $1.50 less than the items that Beast Boy bought. Both Beast Boy and Cyborg paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Beast Boy's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) What was the individual cost of each person's items? State the solution in complete sentences.

Answer 1

Answer:

• See below

Step-by-step explanation:

(a)

Beast Boy spent:

• 5x

Cyborg spent:

• 8(x - 1.5)

They spent same amount:

• 5x = 8(x - 1.5)

(b)

• 5x = 8x - 12
• 8x - 5x = 12
• 3x = 12
• x = 4

(c)

• 5*4 = 8(4 - 1.5)
• 20 = 8*2.5
• 20 = 20

(d)

• Beast Boy bought 5 items that each cost $4
• Cyborg bought 8 items that each cost $2.5