Question

In a bowl, the ratio of red jelly beans to yellow jelly beans is 4:5. the ratio of yellow to blue jelly beans is 3:7 if there were 35 blue jelly beans how many red jelly beans are there

Answer 1

12 red jelly beans

Step-by-step explanation:

Given :

`(Red)/(Yellow)` =
`(4)/(5)`

`(Yellow)/(Blue)` =
`(3)/(7)`

Notice :

`(Red)/(Yellow)` x
`(Yellow)/(Blue)` =
`(Red)/(Blue)`

Hence

`(Red)/(Blue)` =
`(4)/(5)` x
`(3)/(7)`

`(Red)/(Blue)` =
`(12)/(35)`

or re-written in another way:

Red : Blue --> 12:35

If there were 35 blue jelly beans, then by observation of the ratio of Red:Blue, there will be 12 red jellybeans