5. You can buy 14 song downloads for \( \$ 2.10 \). How much would 3 songs cost?

To find out how much 3 songs would cost, we can use the given information that 14 song downloads cost $2.10. Let's denote the cost of 1 song as \( x \). Given that 14 song downloads cost $2.10, we can set up the equation: \[ 14x = 2.10 \] To find the cost of 1 song, we can solve for \( x \): \[ x = \frac{2.10}{14} \] Now, we can calculate the cost of 3 songs by multiplying the cost of 1 song by 3: \[ 3x = 3 \times \frac{2.10}{14} \] Let's calculate the cost of 3 songs. Calculate the value by following steps: - step0: Calculate: \(\frac{3\times 2.1}{14}\) - step1: Multiply the numbers: \(\frac{6.3}{14}\) - step2: Convert the expressions: \(\frac{\frac{63}{10}}{14}\) - step3: Multiply by the reciprocal: \(\frac{63}{10}\times \frac{1}{14}\) - step4: Reduce the numbers: \(\frac{9}{10}\times \frac{1}{2}\) - step5: Multiply the fractions: \(\frac{9}{10\times 2}\) - step6: Multiply: \(\frac{9}{20}\) The cost of 3 songs would be $0.45.