A grocery store sells bananas for dollars a pound and grapes for dollars a pound. Devren buys 3 pounds of bananas and 4 pounds o f grapes for $10.25. Stacey buys 2 pounds of bananas and 2 pounds of grapes for $5.50.
1 answer:
Step-by-step explanation:
Let the price of each pounds of bananas be x andthe price of each pounds of grapes be y.
ATQ,
3x+4y = 10.25 ...(1)
2x+2y = 5.5 ..(2)
Multiply equation (2) by 2.
4x+4y = 11 ...(3)
Now, subtract equation (1) from (3).
4x+4y-(3x+4y) = 11-10.25
4x+4y-3x-4y = 0.75
x = 0.75
Put the value of x in equation (2)
2(0.75)+2y = 5.5
1.5+2y = 5.5
2y = 5.5 - 1.5
2y = 4
y = 2
So, there are 0.75 pounds of bananas and 2 pounds of grapes.
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