McKenna and Lara work for their uncle Eddie, who repairs skateboards and bicycles. Uncle Eddie is leaving for a vacation to the Amazon. He asks the girls to order 54 new wheels for the 21 skateboards and bicycles in his repair shop. How many bicycles and how many skateboards are in Uncle Eddie's shop? From the list of facts, circle those you need to solve Lara and McKenna's problem. McKenna and Lara's uncle is named Eddie. There are 21 skateboards and bicycles in the shop. Uncle Eddie went on a trip. A bicycle has two wheels, and a skateboard has four wheels. 54 new wheels are needed. How many bicycles and how many skateboards are in the shop? Show your work.

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Answer:

There are 21 skateboards and bicycles in the shop.

A bicycle has two wheels, and a skateboard has four wheels

54 new wheels are needed

Number of bicycles = 15

Number of skateboards = 6

Step-by-step explanation:

Number of bicycles and skateboards = 21

Number of new wheels ordered = 54

Number of wheels in a bicycle = 2

Number of wheels in a skateboard = 4

Number of skateboards and bicycles in shop?

Let number of bicycles = b

Number of skateboards = s

b + s = 21 - - - (1)

(2*b) + (4*s) = 54

2b + 4s = 54 - - - - - - (2)

From (1)

b = 21 - s

2(21 - s) + 4s = 54

42 - 2s + 4s = 54

42 + 2s = 54

2s = 54 - 42

2s = 12

s = 6

From : b = 21 - s

b = 21 - 6

b = 15

Number of bicycles = 15

Number of skateboards = 6