Gabriel is at the grocery store, and wants to figure out his total cost before he gets to the register. He bought 2.5 pounds of apples that are x dollars a pound and 2 bags of lettuce for y dollars each. Gabriel remembers he has a coupon for $2 off his bill.
Gabriel has $30 to pay for the groceries. What simplified expression would represent the amount of change he should receive?
Answers
SOLUTION
GIVEN
- Gabriel is at the grocery store, and wants to figure out his total cost before he gets to the register.
- He bought 2.5 pounds of apples that are x dollars a pound and 2 bags of lettuce for y dollars each.
- Gabriel remembers he has a coupon for $2 off his bill.
- Gabriel has $30 to pay for the groceries.
TO DETERMINE
The simplified expression would represent the amount of change he should receive
EVALUATION
Firstly it is given that the apples costs $ x a pound and the lettuce costs for $ y each.
Now Gabriel bought 2.5 pounds of apples
So price of apples = $ 2.5x
Again Gabriel bought 2 bags of lettuce
So price of 2 bags of lettuce = $ 2y
So the total price of 2.5 pounds of apples and 2 bags of lettuce = $ ( 2.5x + 2y )
Now Gabriel remembers he has a coupon for $2 off his bill.
So after coupon the bill amount
= 2.5x + 2y - 2
Lastly Gabriel has $30 to pay for the groceries
Hence the required expression that represent the amount of change Gabriel should receive
= 30 - ( 2.5x + 2y - 2 )
= 30 - 2.5x - 2y + 2
= 32 - 2.5x - 2y
FINAL ANSWER
Hence the required simplified expression that represent the amount of change Gabriel should receive = 32 - 2.5x - 2y
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