Item 8 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

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9