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

Answer:

12 red jelly beans

Explanation:

Given :

$\frac{Red}{Yellow}$ = $\frac{4}{5}$

$\frac{Yellow}{Blue}$ = $\frac{3}{7}$

Notice :

$\frac{Red}{Yellow}$ x $\frac{Yellow}{Blue}$ = $\frac{Red}{Blue}$

Hence

$\frac{Red}{Blue}$ = $\frac{4}{5}$ x $\frac{3}{7}$

$\frac{Red}{Blue}$ = $\frac{12}{35}$

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