Mrs. Smith purchases 4 candy bars for \( \$ 1.50 \) each and 5 packs of gum. Each pack of gum costs the same amount. She spent a total of \( \$ 10.50 \). How much did each pack of gum cost?

Let's denote the cost of each pack of gum as \( x \). The total cost of 4 candy bars is \( 4 \times \$1.50 = \$6 \). The total cost of 5 packs of gum is \( 5x \). The total cost of all items is \( \$10.50 \). We can set up the equation based on the total cost: \[ 6 + 5x = 10.50 \] Now, we can solve for \( x \) to find the cost of each pack of gum. Solve the equation by following steps: - step0: Solve for \(x\): \(6+5x=10.5\) - step1: Move the constant to the right side: \(5x=10.5-6\) - step2: Subtract the numbers: \(5x=4.5\) - step3: Divide both sides: \(\frac{5x}{5}=\frac{4.5}{5}\) - step4: Divide the numbers: \(x=\frac{9}{10}\) The cost of each pack of gum is \( \$0.90 \).