Question

The total price of a bag of peaches varies directly with the cost per pound. If 3 pounds of peaches cost $3.60, how much would 5.5 pounds cost?

A: $1.20
B: $6.60
C: $6.00
D: $1.96

Answer 1

Therefore the cost of 5.5 pound of peaches is $ 6.60.

Explanation:

Given , the total price of a bag of peaches varies directly with the cost per pound. If 3 pound of peaches cost $3.60.

Therefore,

`{\textrm{beg of peaches}}\propto{\textrm{cost}}`

`\Leftrightarrow {\textrm{beg of peaches}}= {\textrm{k cost}}`.......(1) [ k is a constant]

cost = $3.60 when beg of peaches = 3 pounds

`3 = 3.60 k`

`\Leftrightarrow k = (3)/(3.60)`

`\Leftrightarrow k = (1)/(1.20)`

Therefore the equation (1) becomes

`{\textrm{beg of peaches}}=\frac {cost}{1.20}`

`\Leftrightarrow {\textrm{beg of peaches}}* 1.20={cost}`

When beg of peaches = 5.5 pound

`cost = 5.5 * 1.20`

`\Leftrightarrow cost = 6.60`

Therefore the cost of 5.5 pound of peaches is $ 6.60.