Question

Kevin received
4
times as many text messages as his sister Mary. If they received a total of
180
messages, how many did Mary receive?

Answer 1

Answer:

the total messages Mary received will be 36

Step-by-step explanation:

like the messages received by Mary = x

then messages received by Kevin = 4x

then at last according to question :-----

4x + x = 180

5x = 180

x = 180÷5

x = 36

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Answer 2

Answer :-

• Mary received 36 messages.

Given :-

• Kevin received 4 times as many messages as his sister Mary.
• They received a total of 180 messages.

To find :-

• The number of messages Mary received.

Step-by-step explanation :-

• In this question, it has been given that the number of messages received by Kevin is four times the number of messages his sister Mary received. They received a total of 180 messages and we have to find the number of messages Mary received. We will do this by forming an equation using the given information.

Calculations :-

• Let the number of messages by received by Mary be x.

• Kevin received 4 times as many messages as his sister Mary.

• Therefore the number of messages received by him will be 4x.

• Now, they received a total of 180 messages.

• So, that means the number of messages received by both of them must add up to 180.

$\bf \implies x + 4x = 180$

Adding x to 4x,

$\bf \implies 5x = 180$

Transposing 5 from LHS to RHS, changing it's sign,

$\bf\implies x = \dfrac{180}{5}$

Dividing 180 by 5,

$\bf\implies x = 36.$

• The value of x = 36.

• We had taken x as the number of messages received by Mary.

• So, Mary received 36 messages.

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Know more :-

• In this question, we were only asked to find the number of messages received by Mary, but we can also find the number of messages received by Kevin using the number of messages received by Mary.

Calculations :-

• Kevin received 4x messages.

• And the value of x = 36.

Hence, the number of messages received by Kevin is as follows :-

$\tt \implies 4x = 4 \times 36 = 144.$

• So, Kevin received 144 messages.

Verification :-

To check our answer, we have to see two things here.

• Whether the number of messages received by Kevin is four times the number of messages received by Mary.

• Whether in total they both received 180 messages.

Procedure :-

$\underline{\rm FIRST \: PART :-}$

• First, let's see whether Kevin's messages is four times Mary's messages.

• Here, the number of Mary's messages is 36 while the number of Kevin's messages is 144.

$\sf \dfrac{144}{36} = 4.$

• So, it means that the number of messages received by Kevin is four times the number of messages received by Mary.

$\underline{\rm SECOND \: PART :-}$

• Now, let's see if they both received 180 messages in total.

It's clear to us that :-

$\fbox{ \rm36 + 144 = 180.}$

• Thus, they both received 180 messages in total.

Hence verified!

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