Jordan and Taylor went to a baseball game and bought the same number of sodas and hotdogs throughout the game, but they went to different food vendors. Jordan’s vendor charged $2 per soda, $5 per hotdog, and he spent $23. Taylor’s vendor charged $3 per soda, $4 per hotdog, and she spent $24. How many sodas did each of them buy?

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Question

Jordan and Taylor went to a baseball game and bought the same number of sodas and hotdogs throughout the game, but they went to different food vendors. Jordan’s vendor charged $2 per soda, $5 per hotdog, and he spent $23. Taylor’s vendor charged $3 per soda, $4 per hotdog, and she spent $24. How many sodas did each of them buy?

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anonymous · Answer

a: # of soda bought
b: # of hotdogs bought

$$2a+5b=23$$$$3a+4b=24$$
$$6a+15b=69$$$$6a+8b=48$$

$$7b=21$$
$$b=3$$
We want a, so but b in one of the equation.
$$2a+5*3=23$$$$ 2a=8 $$$$a=4$$