Ms. Kilicoglu wants to buy a total of 45 volleyballs and basketballs. She has $435 to spend. Each volleyball costs $8 and each basketball costs $11. How many of each type of ball can she purchase?

Respuesta :

An equation is formed when two equal expressions. Ms. Kilicoglu will buy 20 volleyballs and 25 basketballs.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let x be the number of volleyballs and y be the number of basketballs. Therefore, the total number of balls can be written as,

x + y = 45

x = 45 - y

Each volleyball costs $8 and each basketball costs $11. Also, Ms. Kilicoglu has only $435, therefore,

8x + 11y = 435

8(45 - y) + 11y = 435

360 - 8y + 11y = 435

3y = 75

y = 25

Substitute the value of y in the first equation,

x + y = 45

x + 25 = 45

x = 20

Hence, Ms. Kilicoglu will buy 20 volleyballs and 25 basketballs.

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