Question

The Skateboard club has 2 different colors of skateboards blue and red. Can you find the number of skateboards of each color, if the total number of skateboards is 15, and their product is 44?

Answer 1

Answer:

The number of skateboards of each color is 11 and 4

Step-by-step explanation:

Let x represent blue skateboards and

y represent red skateboards.

From the question, the total number of skateboards is 15, that is,

x + y = 15 ...... (1)

and their product is 44, that is,

xy = 44 ...... (2)

From equation (1),

x + y = 15

We can write that

x = 15 - y ...... (3)

Substitute this into equation (2)

xy = 44

(15-y)y = 44

15y -y² = 44

Then,

y² - 15y + 44 = 0

Solve quadratically

y² -4y -11y + 44 = 0

y(y-4) -11(y-4) = 0

(y-11)(y-4) = 0

y-11 = 0 OR y-4 = 0

y = 11 OR y = 4

Put the values of y into equation (3) for x

x = 15 - y

When y = 11

x = 15 - 11

x = 4

and when y = 4

x = 15 -4

x = 11

(4,11) and (11,4)

It is either 4 blue and 11 red skateboards OR 11 blue and 4 red skateboards.

Hence, the number of skateboards of each color is 11 and 4.