Question

Each hotdog cost $1.50 and sodas cost $.50. At the end of the day you made a total of $78.50.You sold a total of 87 hot dogs and sodas combined.How many hotdogs and sodas were sold?

Answer 1

Answer:

The number of hot dogs sold was 35 and the number of sodas sold  was 52

Step-by-step explanation:

Let

x ----> the number of hot dogs sold

y ----> the number of sodas sold

we know that

$x+y=87$

$x=87-y$ ----> equation A

$1.50x+0.50y=78.50$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$1.50(87-y)+0.50y=78.50$

solve for y

$130.50-1.50y+0.50y=78.50$

$1.50y-0.50y=130.50-78.50$

$y=52\ sodas$

Find the value of x

$x=87-52=35\ hot dogs$

therefore

The number of hot dogs sold  was 35 and the number of sodas sold  was 52