Question

Arnold buys 3

3
5
pounds of green grapes for $1.85 per pound. He buys 3
3
5
pounds of red grapes for $2.30 per pound. Which expression can be used to determine the total cost, in dollars, of the grapes Arnold buys?

A) 3.6(1.85 + 2.30)
B) 3.6 • 1.85 • 2.30
C) (3.6 + 3.6)(1.85 + 2.30)
D) (3.6 • 3.6) + (1.85 • 2.30)

Answer 1

A) 3.6(1.85 + 2.30)

Explanation:

Given that
`3(3)/(5)` pounds of grapes at $1.85/pound and
`3(3)/(5)` of red grapes at $2.30 per pound.

Given the mass of the different grapes is the same, the cost can be expressed as;

`C_g=3(3)/(5)* \$1.85\\\\C_r=3(3)/(5)*\$2.30\\\\C_t=C_g+C_r\\\\=3(3)/(5)* \$1.85+3(3)/(5)*\$2.30\\\\=3(3)/(5)( \$1.85+\$2.30)\\\\=3.6(\$1.85+\$2.30)`

Hence, the cost can be expressed as 3.6(1.85+2.30)