Question

Question 3 Mutiple Choice Worth 4 points)

(05.02 MC)
Two families went to a baseball game. The first family bought 3 pretzels and 5 sodas, which totaled $23. The second family bought 4 pretzels and 6 sodas, which totaled $28. How much did one soda cost?
O $3
O$4
O $5
O $6

Answer 1

B is the answer

Explanation:

I took the test and I got 100 percent.

Answer 2

• B) $4

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Let the cost of a pretzel be p and cost of a soda be s.

The first family bought 3 pretzels and 5 sodas, which totaled $23:

• 3p + 5s = 23

The second family bought 4 pretzels and 6 sodas, which totaled $28:

• 4p + 6s = 28

Divide the second equation by 4 to get:

• p + 1.5s = 7
• p = 7 - 1.5s

Substitute this into first equation and solve for s:

• 3(7 - 1.5s) + 5s = 23
• 21 - 4.5s + 5s = 23
• 0.5s = 23 - 21
• 0.5s = 2
• s = 2/0.5
• s = 4

Cost of a soda is $4, this is option B.