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.

Step-by-step 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

$3 = 3.60 k$

$\Leftrightarrow k = \frac{3}{3.60}$

$\Leftrightarrow k = \frac{1}{1.20}$

Therefore the equation (1) becomes

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

$\Leftrightarrow {\textrm{beg of peaches}}\times 1.20={cost}$

When beg of peaches = 5.5 pound

$cost = 5.5 \times 1.20$

$\Leftrightarrow cost = 6.60$

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