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)
_________
Find the original price per pound.
_______

Answer 1

For the first one, it's: 3(p+0.75)=5.88

And for the second answer, it's: $1.21

Explanation:

Khan Academy :)

Answer 2

Part a) The equation that determine the original price per pound is equal to
`3(p+0.75)=5.88`

Part b) The original price per pound is
`\$1.21`

Explanation:

Let

p-----> the original price per pound

x-----> the new price per pound

we know that

`x=p+0.75` -----> equation A

`3x=5.88` ----> equation B

substitute equation A in equation B

`3(p+0.75)=5.88` -----> equation that determine the original price per pound

solve for p

`3p+2.25=5.88`

`3p=5.88-2.25`

`3p=3.63`

`p=3.63/3=\$1.21`