A container has peppermint gum and spearmint gum. There are 18 pieces of peppermint gum in the container and the ratio of peppermint gum to spearmint gum is 2 : 3. Find the number of pieces of spearmint gum in the container.

Number of Spearmint gum = 27 pieces

Step-by-step explanation:

step 1

Let the total number of peppermint gum and spearmint gum in the container = X
Ratio of peppermint gum to spearmint gum= 2 : 3.
Total ratio = 2+ 3=5

Step 2

we were given that peppermint gum= 18 pieces , so total number of gums will be calculated as
Ratio of peppermint/ Total ratio x Total number of gums = Number of peppermint
2/5 x X= 18
X=(18X 5) / 2 = 45
X= Total number of gums = 45
Number of spearmint gum will now be
Ratio of spearmint/ Total ratio x Total number of gums = Number of spearmint
3/5 x 45= 27
Therefore Number of Spearmint gum = 27 pieces

D.