Question

A health food store sells dried peaches (p) for $4 per pound and dried cherries (c) for $5 per pound. A six pound mixture of the two dried fruits cells for $4.40 per pound. Which system of linear equations can be used to determine the number of pounds of each dried fruit in the mixture?

Answer 1

The system of linear equations can be used to determine the number of pounds of each dried fruit in the mixture is:

p + c = 6....... Equation 1

4p + 5c = 4.40(6)....... Equation 2

Explanation:

A health food store sells dried peaches (p) for $4 per pound and dried cherries (c) for $5 per pound. A six pound mixture of the two dried fruits cells for $4.40 per pound. Which system of linear equations can be used to determine the number of pounds of each dried fruit in the mixture?

Let the number of pounds of dried peaches = p

the number of pounds of dried cherries = c

We are told: health food store sells dried peaches (p) for $4 per pound and dried cherries (c) for $5 per pound. A six pound mixture of the two dried fruits cells for $4.40 per pound.

Hence: The system of equations is given as:

p + c = 6...... Equation 1

$4× p + $5 × c = $4.40(6)

4p + 5c = 26.4.......Equation 2