In a jar of red and green jelly beans, the ratio of green jelly beans to red jelly beans is 5:3. If the jar contains a total of 160 jelly beans, how many of them are red?
There are 60 red beans. If you create variables, the problem will be easier to solve.
red beans = r green beans = g
They have the ratio of 5:3, means in every 8 jelly there is 5 green jelly and 3 red jelly.
There is 160 jelly so, we want to find how many of those 8s in 160. [tex]160 = 8x[/tex] Divide by 8: [tex]x = 20[/tex] There are 20 of those 8s or 20 5 green beans and 20 3 red beans.
Green beans: [tex]20 \times 5 = 100[/tex] Red beans: [tex]20 \times 3 = 60[/tex]
