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 has $30 to pay for the groceries. What simplified expression would represent the amount of change he should receive?(1 point)
Responses
30−2x−2.5y
30 minus 2 x minus 2 point 5 y
30−2.5x−2y
30 minus 2 point 5 x minus 2 y
2.5x+2y+30
2 point 5 x plus 2 y plus 30
30+2x−2.5y
Responses
30−2x−2.5y
30 minus 2 x minus 2 point 5 y
30−2.5x−2y
30 minus 2 point 5 x minus 2 y
2.5x+2y+30
2 point 5 x plus 2 y plus 30
30+2x−2.5y
Answers
GPT-4o mini
To represent the amount of change Gabriel should receive after purchasing the groceries, we first need to calculate the total cost of the items he bought.
He bought:
- 2.5 pounds of apples at $x per pound, which costs \(2.5x\).
- 2 bags of lettuce at $y each, which costs \(2y\).
Thus, the total cost of his groceries is:
\[ \text{Total cost} = 2.5x + 2y \]
Since Gabriel has $30 to pay for the groceries, the amount of change he should receive can be calculated by subtracting the total cost from the amount he has. This gives us the expression:
\[ \text{Change} = 30 - (2.5x + 2y) \]
This simplifies to:
\[ \text{Change} = 30 - 2.5x - 2y \]
Thus, the simplified expression that represents the amount of change he should receive is:
**30−2.5x−2y**.
He bought:
- 2.5 pounds of apples at $x per pound, which costs \(2.5x\).
- 2 bags of lettuce at $y each, which costs \(2y\).
Thus, the total cost of his groceries is:
\[ \text{Total cost} = 2.5x + 2y \]
Since Gabriel has $30 to pay for the groceries, the amount of change he should receive can be calculated by subtracting the total cost from the amount he has. This gives us the expression:
\[ \text{Change} = 30 - (2.5x + 2y) \]
This simplifies to:
\[ \text{Change} = 30 - 2.5x - 2y \]
Thus, the simplified expression that represents the amount of change he should receive is:
**30−2.5x−2y**.
are you sure about that?
GPT-4o mini
Yes, let's clarify the reasoning step-by-step to ensure accuracy.
1. **Calculate the cost of apples**: Gabriel buys 2.5 pounds of apples at \(x\) dollars per pound. So, the cost for the apples is:
\[
2.5x
\]
2. **Calculate the cost of lettuce**: He buys 2 bags of lettuce at \(y\) dollars each. The cost for the lettuce is:
\[
2y
\]
3. **Total cost of groceries**: Add the costs of apples and lettuce together:
\[
\text{Total cost} = 2.5x + 2y
\]
4. **Calculate how much change he will receive**: Gabriel has $30 to spend. The change he should receive after paying for his groceries can be calculated by subtracting the total cost from the amount he has:
\[
\text{Change} = 30 - (2.5x + 2y)
\]
This expression simplifies to:
\[
\text{Change} = 30 - 2.5x - 2y
\]
Thus, the correct expression for the amount of change Gabriel should receive is indeed:
**30−2.5x−2y**.
If you have further questions or would like me to clarify any part of this process, feel free to ask!
1. **Calculate the cost of apples**: Gabriel buys 2.5 pounds of apples at \(x\) dollars per pound. So, the cost for the apples is:
\[
2.5x
\]
2. **Calculate the cost of lettuce**: He buys 2 bags of lettuce at \(y\) dollars each. The cost for the lettuce is:
\[
2y
\]
3. **Total cost of groceries**: Add the costs of apples and lettuce together:
\[
\text{Total cost} = 2.5x + 2y
\]
4. **Calculate how much change he will receive**: Gabriel has $30 to spend. The change he should receive after paying for his groceries can be calculated by subtracting the total cost from the amount he has:
\[
\text{Change} = 30 - (2.5x + 2y)
\]
This expression simplifies to:
\[
\text{Change} = 30 - 2.5x - 2y
\]
Thus, the correct expression for the amount of change Gabriel should receive is indeed:
**30−2.5x−2y**.
If you have further questions or would like me to clarify any part of this process, feel free to ask!