The system of equations that could be used to determine the price of each apple and the price of each banana is:
3x + 4y = 6.50
10x + 5y = 17.50
Where x is the price of each apple and y is the price of each banana
Step-by-step explanation:
The given is:
- Kylie went into a grocery store and bought 3 apples and 4 bananas, costing a total of $6.50
- Lily went into the same grocery store and bought 10 apples and 5 bananas, costing a total of $17.50
We need to write a system of equations that could be used to determine the price of each apple and the price of each banana
Assume that x represents the price per apple, and y represents the price per banana
∵ The price of each apple is $x
∵ The price of each banana is $y
∵ Kylie bought 3 apples and 4 bananas for a total $6.50
- Multiply x by 3 and y by 4, then add the products and equate
the sum by 6.50
∴ 3x + 4y = 6.50 ⇒ (1)
∵ Lily bought 10 apples and 5 bananas for a total $17.50
- Multiply x by 10 and y by 5, then add the products and equate
the sum by 17.50
∴ 10x + 5y = 17.50 ⇒ (2)
The system of equations that could be used to determine the price of each apple and the price of each banana is:
3x + 4y = 6.50
10x + 5y = 17.50
Where x is the price of each apple and y is the price of each banana
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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