Solving a decimal word problem using a linear equation of the form Ax $+\ldots$ Susan got a prepaid debit card with $\$ 15$ on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 12 cents per yard. If after that purchase there was $\$ 9.24$ left on the card, how many yards of ribbon did Susan buy? Wyards $\times \quad 5$

Step 1 ：Translate the problem into a mathematical equation. The initial amount on the card is $15. The price of the ribbon is $0.12 per yard. After the purchase, there is $9.24 left on the card. We can set up the equation as follows: Initial amount - (price per yard * number of yards) = remaining amount.

Step 2 ：Substitute the given values into the equation: $15 - (0.12 * yards) = $9.24.

Step 3 ：Solve the equation for 'yards'.

Step 4 ：\(15 - 0.12 \times \text{yards} = 9.24\)

Step 5 ：\(0.12 \times \text{yards} = 15 - 9.24\)

Step 6 ：\(\text{yards} = \frac{15 - 9.24}{0.12}\)

Step 7 ：Calculate the value of 'yards'.

Step 8 ：\(\text{yards} = \frac{5.76}{0.12}\)

Step 9 ：\(\text{yards} = 48\)

Step 10 ：Final Answer: Susan bought \(\boxed{48}\) yards of ribbon.