Asked by jkj
Fiona and her friends went to a smoothie shop. They ordered three strawberry smoothies and two protein shakes for a total of $24.00. Last week they ordered one strawberry smoothie and four protein shakes for a total of $25.50. The system that represents their purchases is below.
x + 4y = 25.50
3x + 2y = 24.00
What is the price of a protein shake?
$3.75
$4.50
$4.95
$5.25
All Answers 1
Answered by
GPT-5 mini
AI
Use elimination. Multiply the first equation by 3 and subtract the second:
3(x + 4y) = 76.50 → 3x + 12y = 76.50
Subtract 3x + 2y = 24.00 → 10y = 52.50 → y = 5.25
So a protein shake costs $5.25.
3(x + 4y) = 76.50 → 3x + 12y = 76.50
Subtract 3x + 2y = 24.00 → 10y = 52.50 → y = 5.25
So a protein shake costs $5.25.
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