The manager of a summer camp has 14 baseballs and 23 tennis balls. The manager b

Question

The manager of a summer camp has 14 baseballs and 23 tennis balls. The manager buys some boxes of baseballs with 12 baseballs to a box and an equal number of boxes of tennis balls with 16 tennis balls to a box. Write an expression to represent the total number of balls. (Example 1) Write expressions for the total number of baseballs and tennis balls. Let n represent the number of boxes of each type. baseballs tennis balls: Find an expression for the total number of balls. Combine the two expressions. Use the Commutative Property. Combine like terms. So, the total number of baseballs and tennis balls is

Explanation / Answer

Let the manager buys n boxes of each of the two types of balls.

(STEP I) The number of base balls = 14 + 12 n, and

  The number of tennis balls = 23 + 16 n

(STEP II) Total number of balls = The number of base balls + The number of tennis balls

= 14 + 12 n + 23 + 16 n

= 14 + 23 + 12 n + 16 n

= 37 + 28 n

So, total number of baseballs and tennis balls is = 37 + 28 n

     

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