Question

In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of $5.88.

Write an equation to determine the original price per pound (p)
An solve

Answer 1

3(p+0.75)=5.88
then divide both sides by 3 which would give you p+0.75=1.96
then subtract o.75 from each side to get
p(original price) = $1.21 per pound

Answer 2

The equation for determining the original price of apple per pound is given as

3 x (y + 0.75) = $5.88

Explanation:

Let us represent the original price of apples per pound before winter with letter ‘y’

Since the price went up by $0.75, the new price per pound in winter will be = $(y + 0.75)

Cost of 3 pounds of apple in winter = 3 * $(y + 0.75)

Amount Sam paid = Cost of 3 pounds of apple in winter = $5.88

Thus the equation for determining the original price of apple per pound is given as

3 x (y + 0.75) = $5.88

To find the original price y, open the bracket and solve for y.

3 x y + 3 x 0.75 = 5.88

3y + 2.25 = 5.88

3y = 5.88 – 2.25

3y = 3.63

Divide through by 3

3y/3 = 3.63/3

y = $ 1.21

There, the original cost of apples per pound was $ 1.21

The new cost of apples per pound in winter = $ 1.21 + $ 0.75 = $ 1.96

Sam bought 3 pounds at the rate of $ 1.96 per pound

Hence, he paid 3 x $ 1.96 = $ 5.88