There are only red beads and green beads in a bag. The ratio of the number of red beads to the number of green beads is 5 : 9
(a) What fraction of the beads are red?

There is a total of 84 beads in the bag.
(b) How many of the beads are green?

Susie is going to put some more beads in the bag.
There will still be only red beads and green beads in the bag.
Susie wants to have twice as many green beads as red beads in the bag.
(c) What beads should she put in the bag?
You must explain your answer

(a) 5/14

(b) 54 beads

(c) 6 green beads

Step-by-step explanation:

(a) Find the total number of units for red and green beads.

5 + 9 = 14

Since red beads is 5, it is 5/14.

(b) Find the units for red and green beads altogether.

5 + 9 = 14

14 units = 84 beads

Find one unit.

1 unit = 84 ÷ 14 = 6 beads

Since green beads have 9 units, find how many beads there are in 9 units.

9 units = 6 x 9 = 54 beads

(c) As there are 54 green beads and Susie wants to have twice as much green beads as red beads, she have to find how many red beads there are first.

Since red beads have 5 units, find how many beads there are in 5 units.

5 units = 6 x 5 = 30 beads

After that, since she wants twice, she have to find x2 of 30 beads which are red.

30 x 2 = 60

After that, find the remaining amount of green beads needing to make x2 of 30.

60 - 54 = 6 beads (green)

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