Santa has been busy delivering presents and has a total of 900 presents left on his sleigh.
The presents are divided into three categories:
Red, green, and gold.
The ratio of red to green presents is 3:4.
The ratio of green to gold presents is 5:2.
How many presents of each colour does Santa have on his sleigh?
Answer:
Red:Green Green:Gold
3:4 5:2
To get the overall ratio we have to make the ‘green’ part of each ratio the same. So we can multiply the first by 5 and the second by 4…
3:4 ..x5.. 15:20 5:2 ..x4.. 20:8
Therefore, the overall ratio of all 3 colours is.. R:Gr:Go 15:20:8
To share the 900 presents out in the ratio we first add up the ratio together.
15+20+8 = 43
And then divide 900 by that…
900/43 = 20.9
To find the actual number of presents we multiply 20.9 through the ratio…
20.9 x 15 = 314 red
20.9 x 20 = 419 green
20.9 x 8 = 167 gold