To determine how much Charlie can spend on each sandwich, we first need to set up the relationship between his budget and his purchases. Charlie has a total budget of $27.
He is going to buy 6 sandwiches and 1 kid's meal for $3.
-
Subtract the cost of the kid's meal from his total budget:
Total budget = $27
Cost of kid's meal = $3
Remaining budget for sandwiches = $27 - $3 = $24 -
Let \( x \) be the price of each sandwich.
Since Charlie is buying 6 sandwiches, the total cost for the sandwiches can be expressed as \( 6x \). -
Set up the inequality:
The total cost of the sandwiches must be less than or equal to his remaining budget: \[ 6x \leq 24 \] -
Solve for \( x \): To find out how much he can spend on each sandwich, divide both sides of the inequality by 6: \[ x \leq \frac{24}{6} \] \[ x \leq 4 \]
Therefore, Charlie can spend $4 or less on each sandwich.
In summary, the inequality representing how much Charlie can spend is: \[ 6x \leq 24 \] which means Charlie can spend $4 or less on each sandwich.
1 answer