Question

Think about the proportion and the cross products for this problem: Shelley sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20. Because the cross products are equal, which statements are true? Select all that apply.

The ratios are not equivalent

The ratios are equivalent.

The ratios are not a proportion

The ratios are a proportion

Answer 1

When cross products are equal, they will have the same ratio. You can prove this by cross multiplying the fractions:

$\frac{5}{3} = \frac{7}{4.20}$

Cross multiply the two:

$21 = 21$

This proves that the ratios are equivalent.

Answer 2

The ratios are equivalent,and The ratios are a proportion.