The snack stand at the local baseball field sells cherry and lemon snow cones. Yesterday, the stand sold 4 cherry snow cones for every 1 lemon snow cone sold. If there were 30 more cherry snow cones than lemon snow cones sold yesterday, how many snow cones were sold altogether?

Respuesta :

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.