Question

Mark purchased 3 hotdogs and 2 pretzels for $7.50. Mary’s purchased 2 hotdogs and 4 pretzels for $7. How much is each item

Answer 1

• Hotdog costs $2 and pretzel costs $0.75

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Let the cost of a hotdog be h and pretzel be p.

Set up equations as per question:

• 3h + 2p = 7.5
• 2h + 4p = 7

Divide the second equation by 2, then subtract from the first one:

• 3h + 2p - 2h/2 - 4p/2 = 7.5 - 7/2
• 3h - h = 7.5 - 3.5
• 2h = 4
• h = 2

Now find the value of p:

• 3*2 + 2p = 7.5
• 6 + 2p = 7.5
• 2p = 1.5
• p = 0.75

Hotdog costs $2 and pretzel costs $0.75.