Question

2. Dana buys and sells superhero themed shirts, jeans and designer dresses. She

bought two shirts for $5.00 each and later sold them for $9.00 each. She bought
three pairs of jeans for $9.00 each and later sold them for $17.00 each. She bought
five dresses for $29.00 each and later sold them for $41.00 each.
Part A: Use the distributive property to write a numerical expression to represent
Dana's total profit.
Part B: What was Dana's total profit?

Answer 1

Explanation:

profit for shirts = sale - buying price

$9×2 - $5 ×2 = profit

$18 - $10 = profit

profit₁ =P₁= $8

profit for jeans

sale - buying price= profit

$17×3 - $9×3 = profit

$51 - $27 = profit

profit₂=P₂= $24

profit for dresses

$41×5 - $29×5 = profit

$205 - $145 = profit

profit = $205-$145

profit₃ =P₃= $60

Part A.

P₁ + P₂ + P₃ = $8 +$24 + $60

Part B.

Total profit= $92

Answer 2

Dana bought two shirts for $5.00 each and later sold them for $9.00 each.

Profit earned =
`2(9-5)` dollars

She bought three pairs of jeans for $9.00 each and later sold them for $17.00 each.

Profit earned =
`3(17-9)` dollars

She bought five dresses for $29.00 each and later sold them for $41.00 each.

Profit earned =
`5(41-29)` dollars

Part A:

Dana's total profit is represented by:

`2(9-5)+3(17-9)+5(41-29)`

Part B:

Dana's total profit was:

`2(9-5)+3(17-9)+5(41-29)`

=>
`2(4)+3(8)+5(12)`

=>
`8+24+60`

= $92