Question

A vendor sells hotdogs and bags of potato chips .A customer buys 4 hot dogs and 4 bags of chips for $17.00 another customer buys 5 hotdogs and 3 bags of chips for $17.75 find the cost of each item using elimination method

Answer 1

Let use h= hotdogs price and c=chips price
we know that
4h +4c= 17
5h+3c=17.75
t use the elimination method we will multiply the first equation by 5 and the second one by (-4)
20h +20c=85
-20h -12c= -71
8c=14, we will divide by 8 both side and c=1.75, so a bag of potato chips cost $ 1.75
now we will substitute the c in the first equation
4h+7=17     therefore  4h=17-7,    4h=10,     h=2.50

a bag of potato chips is 1.75
a hot dog costs 2.50