Roxanne has $13$ blue envelopes. She has $10$ fewer yellow envelopes than blue envelopes. She has $5$ times as many green envelopes as yellow envelopes. How many envelopes does Roxanne have in all? $\newline$ $\newline$ $\_\_\_\_$ envelopes

Full solution

Q. Roxanne has

13

blue envelopes. She has

10

fewer yellow envelopes than blue envelopes. She has

5

times as many green envelopes as yellow envelopes. How many envelopes does Roxanne have in all?

\newline

\newline

\_\_\_\_

envelopes

Calculate yellow envelopes: Calculate the number of yellow envelopes Roxanne has. $\newline$ She has $10$ fewer yellow envelopes than blue envelopes. She has $13$ blue envelopes. $\newline$ $13$ blue $- 10 = 3$ yellow envelopes.
Calculate green envelopes: Calculate the number of green envelopes Roxanne has. $\newline$ She has $5$ times as many green envelopes as yellow envelopes. She has $3$ yellow envelopes. $\newline$ $5 \times 3 = 15$ green envelopes.
Calculate total envelopes: Calculate the total number of envelopes Roxanne has. $\newline$ Add the number of blue, yellow, and green envelopes. $\newline$ $13$ blue + $3$ yellow + $15$ green = $31$ envelopes.