Question

. A box contains pink, red, and green sweets.

The ratio of pink to red sweets is 2 : 3.
The ratio of red to green sweets is 5: 14.
Find the ratio of pink to green sweets in the simplest form

Answer 1

Answer is the ratio 5:21

Step-by-step explanation

Write the ratios 2:3 and 5:14 side by side.

The goal is to get the 3 and 5 to turn into the same number.

Let's multiply both parts of 2:3 by 5 to get 10:15

Also, multiply both parts of 5:14 by 3 to get 15:42

The old ratios 2:3 and 5:14 are equivalent to 10:15 and 15:42 in that order.

Notice the 15's match up.

Because of this, we can form the triple ratio of 10:15:42 to mean "for every 10 pink, there are 15 red and 42 green".

Erase the middle number to get 10:42 which reduces to 5:21