# Using Ratios to Create Proportions

1. 12 pizzas \eqalign{\dfrac{2 \text{ pizzas}}{15 \text{ minutes}}&=\dfrac{x \text{ pizzas}}{90 \text{ minutes}}\\15x&=180\\x&=12}

2. 15 minutes \eqalign{\dfrac{15 \text{ miles}}{25 \text{ minutes}}&=\dfrac{9 \text{ miles}}{x \text{ minutes}}\\15x&=225\\x&=15}

3. 45 word problems \eqalign{\dfrac{3 \text{ word problems}}{12 \text{ minutes}}&=\dfrac{x \text{ word problems}}{3 \text{ hours}}\\\dfrac{3 \text{ word problems}}{12 \text{ minutes}}&=\dfrac{x \text{ word problems}}{180 \text{ minutes}}\\12x&=540\\x&=45}

4. 35 minutes \eqalign{\dfrac{4 \text{ miles}}{20 \text{ minutes}}&=\dfrac{7 \text{ miles}}{x \text{ minutes}}\\4x&=140\\x&=35}

5. 75 minutes \eqalign{\dfrac{2 \text{ miles}}{30 \text{ minutes}}&=\dfrac{5 \text{ miles}}{x \text{ minutes}}\\2x&=150\\x&=75}

6. 25 minutes\eqalign{\dfrac{6 \text{ miles}}{10 \text{ minutes}}&=\dfrac{15 \text{ miles}}{x \text{ minutes}}\\6x&=150\\x&=25}

7. \.80 \eqalign{\dfrac{12 \text{ eggs}}{2.40 \text{ dollars}}&=\dfrac{4 \text{ eggs}}{x \text{ dollars}}\\12x&=9.60\\x&=.8} 8. \.70 \eqalign{\dfrac{12 \text{ eggs}}{1.20 \text{ dollars}}&=\dfrac{7 \text{ eggs}}{x \text{ dollars}}\\12x&=8.40\\x&=.7}

9. \.30 \eqalign{\dfrac{6 \text{ eggs}}{.60 \text{ dollars}}&=\dfrac{3 \text{ eggs}}{x \text{ dollars}}\\6x&=1.80\\x&=.3} 10. \2.33 \eqalign{\dfrac{6 \text{ sodas}}{7 \text{ dollars}}&=\dfrac{2 \text{ sodas}}{x \text{ dollars}}\\6x&=14\\x&=2.33}

11. \.46 \eqalign{\dfrac{20 \text{ pencils}}{1.85 \text{ dollars}}&=\dfrac{5 \text{ pencils}}{x \text{ dollars}}\\20x&=9.25\\x&=.4625} 12. \6.25 \eqalign{\dfrac{12 \text{ cupcakes}}{15 \text{ dollars}}&=\dfrac{5 \text{ cupcakes}}{x \text{ dollars}}\\12x&=75\\x&=6.25}