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.
[tex]4x-x=30[/tex]
[tex]3x=30[/tex]
Divide both sides by 3.
[tex]x=\dfrac{30}{3}[/tex]
[tex]x=10[/tex]
Total number of snow cones sold is
[tex]\text{Total number of snow cones sold }=x + 4x[/tex]
[tex]\text{Total number of snow cones sold }=5x[/tex]
[tex]\text{Total number of snow cones sold }=5(10)[/tex]
[tex]\text{Total number of snow cones sold }=50[/tex]
Therefore, 50 snow cones were sold altogether.