You have only $150 spending money this week. You put $36.64 worth of gas into your car. You spend $67.41 at the grocery store. Do you have enough money to get an oil change for $32.99? Write and solve an inequality to solve this problem.

Answer 1

Let's solve this problem by using an inequality.
Let x represent the amount of money you have left after spending on gas and groceries.
The amount of money you have initially is $150.
After spending $36.64 on gas and $67.41 at the grocery store, the amount of money you have left is 150 - 36.64 - 67.41 = 45.95.
To determine if you have enough money for an oil change, we need to check if the amount of money you have left (x) is greater than or equal to the cost of the oil change ($32.99).
Inequality: x ≥ 32.99
Substituting the value of x, we have 45.95 ≥ 32.99.
Therefore, you have enough money to get an oil change.