The ratio of number of text messages sent by Lucas to the number of text messages sent by his sister is 4 to 9. Lucas sent 72 text messages.

Question

The ratio of number of text messages sent by Lucas to the number of text messages sent by his sister is 4 to 9. Lucas sent 72 text messages. How many text messages did his sister send?

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3 days 2021-07-19T20:51:21+00:00 1 Answers 0 views 0

1. Answer:The number of text messages sent by his sister=162

Step-by-step explanation:

Step 1

The ratio of number of text messages sent by Lucas to the number of text messages sent by his sister =4 to 9= 4:9

Number of text messages sent by Lucas =72

Total ratio is given as 4+ 9= 13

Step 2

such that the total number of messages sent by Lucas and by his sister will be calculated as

Ratio of text messages sent by Lucas/  total ratio x Total messages  = Number of text messages sent by Lucas . Let X = Total number of messages

4/13 x X = 72

X=72  x 13 / 4 =234

Therefore, The number of text messages sent by his sister= ratio of  text messages sent by his sister/ Total ratio x Total number of messages  =

9/13  X 234= 162 messages