Grant needed to earn at least $300 for a trip with friends. Grant mowed several yards for $45 each. He spent $32 on gasoline and a new blade for the lawn mower.
To calculate the amount earned by Grant, you need to subtract the expenses from the earnings.
First, calculate the total earnings from mowing yards. If each yard is worth $45, then the total earnings can be calculated by multiplying the number of yards by the cost per yard.
Let's assume Grant mowed "x" yards.
Total earnings = $45 * x
The total earnings should be at least $300.
So, we can write an equation: $45 * x ≥ $300
Now, let's solve for "x".
Divide both sides of the equation by $45:
x ≥ $300 / $45
Simplifying, we get:
x ≥ 6.67
We know that the number of yards has to be a whole number, so the least number of yards Grant needs to mow is 7.
Now, let's calculate the total expenses by summing up the cost of gasoline and the new blade for the lawn mower.
Total expenses = $32
Finally, let's calculate the amount earned by subtracting total expenses from the total earnings.
Amount earned = Total earnings - Total expenses
Amount earned = ($45 * 7) - $32
Amount earned = $315 - $32
Amount earned = $283
Therefore, Grant earned at least $283 for the trip with friends.
Select an inequality that can be used to find y, the minimum number of yards that Grant mowed if he earned the needed money for the trip.
Responses
One possible inequality that can be used to find y, the minimum number of yards that Grant mowed, is:
45y ≥ 300
This inequality states that the earnings from mowing yards, represented by 45 multiplied by the number of yards (y), must be greater than or equal to $300, the amount needed for the trip.