Question

H needs to buy hamburgers and hot dogs for a picnic. He has only $41.00 to spend and must buy a combination of 98 hamburgers or hot dogs. A store charges $.50 per hamburger and $0.25 per hot dog. Write a system of equations to model this problem please?

use h for hamburgers and d for hot dogs

Answer 1

See below

Explanation:

The equations you are looking for:

`0.5*h+0.25*d=41`

`h+d=98`

h represents the number of hamburgers and d the number of hot dogs.

`h+d=98quad=>quadh=98-d`
`1/2*(98-d)+1/4*d=41`
`49-d/2+d/4=41`
`49-d/4=41`
`49-41=d/4`
`32=d`

`h=98-dquad=>quadh=66`

You should buy 66 hambergers and 32 hotdogs