Let's say the discount for each box of granola bars is represented by the variable x. Since the teacher wants to buy 9 boxes of granola bars, the total amount spent can be calculated as 9 * (7 - x).
The teacher can spend at most $36, so we can write the following inequality:
9 * (7 - x) ≤ 36
To solve this inequality, we can start by simplifying the expression on the left side:
63 - 9x ≤ 36
Next, we can isolate the variable x by subtracting 63 from both sides:
-9x ≤ 36 - 63
-9x ≤ -27
Finally, we can divide both sides of the inequality by -9. Since dividing by a negative number reverses the inequality, we need to flip the inequality symbol:
x ≥ -27 / -9
x ≥ 3
Therefore, the granola bars can be discounted by at most $3 for the teacher to stay within his budget.
9 A teacher wants to buy 9 boxes of granola bars for a school trip. ● Each box usually costs $7, but many grocery stores are having a sale on granola bars this week, and different stores are selling boxes of granola bars at different discounts. ● This teacher can spend at most $36 on granola bars. Write and solve an inequality to represent the amount that the granola bars could be discounted so that this teacher can stay within his budget.
1 answer
1 answer