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?

Question

use h for hamburgers and d for hot dogs

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Answer 1 · 2017-12-19T18:22:29

See below

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