Question

You and your friend each purchase an equal number n of magazines. Your magazines cost $1.50 each and your friend's magazines cost $2 each. The total cost for you and your friend is $10.50. Write and solve an equation to find the number of magazines you purchased.

Answer 1

Given:

You and your friend each purchase an equal number n of magazines.

Your magazines cost = $1.50 each

Your friend's magazines cost = $2 each

Total cost = $10.50

To find:

The equation to find number of magazines you purchased.

Solution:

Your magazines cost = $1.50 each

Your friend's magazines cost = $2 each

Number of magazines purchased by you and your friend = n

Total cost = $1.50n+2n$

It is given that total cost is $10.50.

$1.50n+2n=10.50$

$3.50n=10.50$

Divide both sides by 3.50.

$n=\dfrac{10.50}{3.50}$

$n=3$

Therefore, required equation is $1.50n+2n=10.50$ and the number of magazines purchased by you is 3.