Question

In one version of a trail mix for a camping trip, there are 7.5 cups of granola with 3 cups of chocolate chips. In another version of trail mix there are 12.5 cups of granola with 5 cups of chocolate chips. Are the ratios equivalent for the two mixtures? Explain with reason

A) Yes
B) No

Answer 1

The ratios of granola to chocolate chips in both trail mix versions are equivalent, as both simplify to the same ratio of 2.5 to 1.

Step-by-step explanation:

To determine whether the ratios of granola to chocolate chips in the two trail mix versions are equivalent, we will compare the ratios by simplifying them or by finding a common multiplier. The first version of the trail mix has a ratio of 7.5 cups of granola to 3 cups of chocolate chips, which simplifies to 2.5 to 1 when both sides are divided by 3. The second version has a ratio of 12.5 cups of granola to 5 cups of chocolate chips, which also simplifies to 2.5 to 1 when both sides are divided by 5.

Since both ratios simplify to the same value of 2.5 to 1, we can conclude that the ratios are equivalent for the two mixtures.