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

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