Question

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?

Answer 1

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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