To earn 1 prize ticket, a student must read 4 books. A student needs 5 prize tickets to win a gift card. Which proportion is the correct first step to find how many books are needed to win 3 gift cards?

$\frac{4 \text{ books}}{1 \text{ ticket}} = \frac{b \text{ books}}{3 \text{ gift cards}}$

$\frac{5 \text{ tickets}}{1 \text{ gift card}} = \frac{t \text{ tickets}}{3 \text{ gift cards}}$

$\frac{4 \text{ books}}{5 \text{ tickets}} = \frac{b \text{ books}}{3 \text{ gift cards}}$

$\frac{1 \text{ gift card}}{4 \text{ books}} = \frac{3 \text{ gift cards}}{b \text{ books}}$

Use Proportional Reasoning to Solve Multi-Step Ratio Problems Practice — Grade 7 math