Question

Olivia bought 3 pretzels and 2 hot dogs for $16.75. Noah bought 5 pretzels and 3 hot dogs for $26.50. What is the cost of a pretzel and a hot dog?

Answer 1

pretzels cost $2.75 and hot dogs cost $4.25

Explanation:

Given data

let the cost of pretzels be x and the cost of hot dogs be y

Olivia bought 3 pretzels and 2 hot dogs for $16.75

3x+2y= 16.75----------1

Noah bought 5 pretzels and 3 hot dogs for $26.50

5x+3y= 26.5-----------2

solve 1 and 2

3x+2y= 16.75 X 3

5x+3y= 26.5 X 2

9x+6y= 50.25

-10x+ 6y= 53

-x= -2.75

x= 2.75

put x= 2.75 in 1

3( 2.75)+2y= 16.75

8.25+2y= 16.75

2y= 16.75-8.25

2y= 8.5

y= 8.5/2

y= 4.25

Hence pretzels cost $2.75 and hot dogs cost $4.25