Given:
The stand sold 4 cherry snow cones for every 1 lemon snow cone sold.
There were 30 more cherry snow cones than lemon snow cones sold yesterday.
To find:
The number of snow cones which were sold altogether.
Solution:
Let x be the number of lemon snow cone sold.
The stand sold 4 cherry snow cones for every 1 lemon snow cone sold.
So, number of cherry snow cone sold = 4x
There were 30 more cherry snow cones than lemon snow cones sold yesterday.
![4x-x=30](https://img.qammunity.org/2021/formulas/mathematics/high-school/3csc2pkp242uilz80p7yyuoalydscggx5s.png)
![3x=30](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1n0wzklh9mqrzovgh9in78xrk18l9thssc.png)
Divide both sides by 3.
![x=(30)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/s99czw7jz0pav1v1c75ep3fwk05c6zs9uw.png)
![x=10](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yveq4wkntm80fiuxnqfce6qwd476ocdd80.png)
Total number of snow cones sold is
![\text{Total number of snow cones sold }=x + 4x](https://img.qammunity.org/2021/formulas/mathematics/high-school/w6adxngdldzgz6j26204tg2hlfd8vp5bzv.png)
![\text{Total number of snow cones sold }=5x](https://img.qammunity.org/2021/formulas/mathematics/high-school/vha7su62p46bbbvwyv79denj0rz0i81rtm.png)
![\text{Total number of snow cones sold }=5(10)](https://img.qammunity.org/2021/formulas/mathematics/high-school/z0maenjbvnb9nmf1delgyox14ngbj00rec.png)
![\text{Total number of snow cones sold }=50](https://img.qammunity.org/2021/formulas/mathematics/high-school/hhpsw28krrie7s7mh464szh72ypvhx7tr2.png)
Therefore, 50 snow cones were sold altogether.