Question

Althea paid five dollars each for two bracelets and later sold each for $15. She paid eight dollars each for three bracelets and sold each of them for nine dollars. Write an expression that represents the profit Althea made.

Answer 1

2(-5)+3(-8)+2(15)+3(9)=23

Explanation:

For this expression, every time she payed for something we will use a negative number, and whenever she sold it we will use a positive number.

Lets start off with what she payed for, she bought two 5 dollar bracelets, and three 8 dollar bracelets.

2(-5)+3(-8)

Now we will see what she sold. She sold two bracelets for 15 dollars, and then sold three bracelets for 9 dollars.

2(15)+3(9)

Now we combine these to find out her profit.

2(-5)+3(-8)+2(15)+3(9)=23

Answer 2

2(15 - 5) + 3(9 - 8)

Explanation:

Profit for each $5 bracelet: 15 - 5

Profit for 2 $5 bracelets: 2(15 - 5)

Profit for each $8 bracelet: 9 - 8

Profit for 3 $8 bracelets: 3(9 - 8)

Total profit: 2(15 - 5) + 3(9 - 8)