Question

At the toy store, Caleb and his younger brother, Gabe, each used money they had saved to buy Motor Mystery boxes. The convertibles are their favorite cars to get! Out of the 30 cars in Caleb's Jumbo box, 12 were convertibles. Out of the 10 cars in Gabe's Mini box, 4 were convertibles. Did the boxes have the same ratio of convertibles to total cars yes or no​

Answer 1

Answer: Yes

Explanation:

Ratios

Caleb's Jumbo box has 30 cars, 12 of which are convertibles.

This gives a ratio of 12:30. The equivalent fraction of this ratio is:

`(12)/(30)`

This fraction can be simplified by dividing both parts by 6:

`(2)/(5)`

Thus Caleb's ratio of convertibles is 2:5.

Gabe's Mini box has 4 convertibles out of 10 cars. This gives a ratio of 4:10.

Simplifying by 2, the ratio is 2:5.

It's clear that both boxes have the same ratio of convertibles to total cars.

Answer: Yes