Question

One group purchased 10 hotdogs and 5 drinks for $12.50. A second group bought 7 hot dogs and 4 drinks for $9.00. What is the cost of one hotdog? What is the cost of one drink?

Answer 1

price of hotdog = $1
price of drink = $0.5

Explanation:

let the price of hotdogs be x

let the price of drinks be y

10x + 5y = 12.50 ------- 1st eq

7x + 4y = 9 -------------- 2nd eq

10x + 5y = 12.50 ------------ ×4

7x + 4y = 9 -------------------- ×5

40x + 20y = 50

(-)35x + (-)20y = (-)45

------------------------

5x = 5

x = 1

put the value of x in any of the prior eq.

(7)(1) + 4y = 9
4y = 9-7

y = 2/4

y = 1/2

answer:

price of hotdog = $1
price of drink = $0.5