Question

The band boosters collected $2400 from the sale of hamburgers and hotdogs the amounts earned from hamburgers and hotdogs were equal a hamburger sold for $3 and a hot dog sold for $2 how many of each were sold

Answer 1

Answer  

Find out the how many of each were sold .

To prove

Let us assume that the number of hotdogs sold be x.

Let us assume that the number of hamburgers sold be y.

As given

The band boosters collected $2400 from the sale of hamburgers and hotdogs.

The amounts earned from hamburgers and hotdogs were equal.

A hamburger sold for $3 and a hot dog sold for $2 .

Thus the equation becomes

3y = 2x

2x + 3y = 2400

put 3y = 2x in the equation 2x + 3y = 2400.

2x + 2x = 2400

4x = 2400

$x = \frac{2400}{4}$

x = 600

Put in the equation  2x + 3y = 2400.

2 × 600 + 3y = 2400

1200 +3y = 2400

3y = 2400 - 1200

3y = 1200

$y = \frac{1200}{3}$

y = 400

Therefore the numbers of f hotdogs sold be 600 and the numbers of hamburgers sold be 400 .