Sandra has some lemon and peppermint sweets in a container. After she adds in 10 lemon sweets, 3/5 of the sweets are peppermint. After she adds in another 30 peppermint sweets, 3/4 of the sweets are peppermint. How many sweets does she have in the container in the end?

Guest Sep 20, 2021

edited by
Guest
Sep 20, 2021

#1**+1 **

How many sweets does sandra have in the container in the end?

**Hello Guest!**

\(\color{blue}z+p+10=\frac{2}{3}(z+p+10)+z\\ p+10=\frac{2}{3}z+\frac{2}{3}p+\frac{20}{3}\\ \frac{p}{3}=\frac{2z}{3}+\frac{20}{3}\)

\(p=2z+20\)

\( \color{blue}z+p+10+30=\frac{3}{4}(z+p+40)+z\\ p+40=\frac{3}{4}z+\frac{3}{4}p+30\\ \frac{p}{4}=\frac{3}{4}z-10\)

\(p=3z-40 \)

\(2z+20=3z-40\)

\(z=60\)

\(p=2z+20\)

\(p=140\)

\(140+10+30+60=\color{blue}240\ sweets\\ does\ Sandra\ have\ in\ the\ container\ in\ the\ end.\)

!

asinus Sep 21, 2021