Question

Jeremiah has 20 sticks of gum. Some of the sticks are peppermint flavored and the rest of the sticks are cinnamon flavored. He has 9 times as many sticks of peppermint gum as sticks of cinnamon gum. How many sticks of peppermint gum does Jeremiah have?

Answer 1

Given:

Total number of sticks of gum = 20

He has 9 times as many sticks of peppermint gum as sticks of cinnamon gum.

This means the number of sticks of peppermint gum is 9 times greater than the sticks of cinnamon gum.

Number of cinnamon = c

Number of peppermint = 9c

Thus, we have the equation:

9c + c = 20

10c = 20

Divide both sides by 10:

`\begin{gathered} (10c)/(10)=(20)/(10) \\ \\ c=2 \end{gathered}`

Substitute c for 2 in 9c to find the number of sticks of peppermint gum.

Thus, we have:

Number of sticks of peppermint gum = 9c = 9 x 2 = 18

Therefore, the number of sticks of peppermint gum Jeremiah has is = 18

ANSWER:

18