Question

Dalvin made note of all the bicycles and cars he could see parked or locked on a certain city block. All the cars had exactly four wheels, and all the bicycles had exactly two wheels. How many wheels were on the block if there were 14 bicycles and 10 cars? How many wheels were on the block if there were x bicycles and y cars?Total wheels, 14 bicycles and 10 cars: Total wheels, x bicycles and y cars:

Answer 1

Answer:

a) 68 wheels

b) 2x + 4y wheels

Explanation:

a) Total number of bicycles = 14

Number of wheels per bicycle = 2

Total number of cars = 10

Number of wheels per car = 4

Total number of wheels = Total number of bicycles (number of wheels per bicycle) + Total number of cars (number of wheels per car)

$\begin{gathered} Total\text{ number of wheels = 14\lparen2\rparen + 10\lparen4\rparen} \\ Total\text{ number of wheels = 28 + 40} \\ \\ Total\text{ number of wheels on the block = 68} \end{gathered}$

b) Total number of bicycles = x

Number of wheels per bicycle = 2

Total number of cars = y

Number of wheels per car = 4

$\begin{gathered} Total\text{ wheels = x\lparen2\rparen + y\lparen4\rparen} \\ Total\text{ wheels = 2x + 4y} \end{gathered}$