Question

3. At a bargain store, Jamal bought 2 items that each cost the same amount. Isaiah bought 3 items that each cost the same amount, but each was $2.25 less than the items that Jamal bought. Both Jamal and Isaiah paid the same amount of money. What was the individual cost of each person's items?

(5 points) (a) Write an equation. Let x represent the cost of one of Jamal's items. Your equation will have an x term on both sides.

(2 pts) (b) Solve the equation. Show your work.

(3 pts) (c) Check your solution. Show your work. (1 pt bonus)


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Answer 1

• $6.75 and $4.50

Explanation:

a) Jamal spent:

• 2x

Isaiah spent:

• 3 (x - 2.25)

The equation is:

• 2x = 3(x - 2.25)

b) Solving the equation

• 2x = 3x - 6.75
• 3x - 2x = 6.75
• x = 6.75

c) Jamal's items cost

• $6.75 each

Isaiah's items cost

• $6.75 - $2.25 = $4.50 each