On Saturday afternoon, Armand sent m text messages each hour for 5 hours, and Tyrone sent p text messages each hour for 4 hours. Which of the following represents the total number of messages sent by Armand and Tyrone on Saturday afternoon?

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9mp

20mp

5m + 4p

4m + 5p

answer is C.

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Detailed Solution

Concept- We are aware that if we are given the value of one unit, we must multiply it by n to get the value of the remaining units. In a similar manner, first determine the total number of messages that each of them has sent, and then add those messages together to obtain the answer.
On saturday afternoon, Armand sent m text messages every hour for 5 hours, and Tyrone sent p text messages every hour for 4 hours, according to the information provided. The entire number of communications that armand and tyrone exchanged on Saturday afternoon must be ascertained.
We must be familiar with the following ideas in order to move further with this inquiry.
When we are given the value of a single unit, we multiply that value by the number of units to get the value of the additional units that are required. For instance, if a person completes 'p' units of work in 1 hour, he would complete 'np' units in 'n' hours.
Let's now take into account the information provided in the query. We are informed that Armand will send m sms in an hour.
As a result, Armand sent 5 messages in 5 hours.
In addition, it is stated that Tyrone sent p texts in an hour.
Therefore, Tyrone sent 4 messages in 4 hours, or 4p.
(ii) By adding Armand's five-hour message output to Tyrone's four-hour output, we arrive at the total number of messages sent by both Armand and Tyrone on saturday afternoon.
By substituting the values of RHS from equation (i) and (ii), we get,
Total number of messages sent by Armand and Tyrone on saturday afternoon = 5m + 4p
So, we get the total number of messages sent by Armand and Tyrone on saturday afternoon as (5m + 4p)
Hence, the correct answer is 3) 5m + 4p

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