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Tammy has $9.60 to spend in some peaches and a gallon of milk. Peaches coat $1.20 per pound, and a gallon of milk costs $3.60

The inequality 1.20x+3.60≤9.60 models the situation, where x is the number of pounds of peaches

Solve the inequality. How many pounds of peaches can Rammy buy?

1 answer

To solve the inequality \(1.20x + 3.60 \leq 9.60\), where \(x\) represents the number of pounds of peaches, we will isolate \(x\).

  1. Subtract 3.60 from both sides: \[ 1.20x \leq 9.60 - 3.60 \] \[ 1.20x \leq 6.00 \]

  2. Divide both sides by 1.20: \[ x \leq \frac{6.00}{1.20} \] \[ x \leq 5 \]

Thus, Tammy can buy at most 5 pounds of peaches.