Question

Tom and Maria typed in words in the ratio of 1 : 5 in 20 minutes. They typed 864 words altogether. Find the number of words that each of them typed

Answer 1

The number of words Tom typed are 144 and number of words Maria typed are 720 .

Explanation:

As given

Tom and Maria typed in words in the ratio of 1 : 5 in 20 minutes.

They typed 864 words altogether.

Let us assume that the y be the scalar multiple of the Tom and Maria typed in words .

Number of words Tom typed = y

Number of words Maria typed = 5y

Thus the equation becomes

y + 5y = 864

6y = 864

`y= (864)/(6)`

y = 144

Number of words Tom typed = 144

Number of words Maria typed = 5 × 144

= 720

Therefore the number of words Tom typed are 144 and number of words Maria typed are 720 .

Answer 2

As per the statement:

Tom and Maria typed in words in the ratio of 1 : 5 in 20 minutes.

Let x be the number.

Then;

Tom typed number of words = x and

Maria typed number of words = 5x

It is also given that they altogether typed 864

⇒
`x+5x = 864`

Combine like terms;

6x = 864

Divide both sides by 6 we get;

x = 144

then;

Number of words Tom typed = 144 and

Number of words Maria typed =5(144)=720

Therefore, number of words that Tom and Maria typed are: 144 and 720