Question

The ratio of the number of text messages sent by Diego to the number of text messages sent by his sister is 3 to 4. Diego sent 18 text messages. How many more text messages did his sister send?​

Answer 1

Answer:

His sister sent 6 more messages than Diego.

Step-by-step explanation:

Ratio of Diego's messages to his sister's messages = 3 : 4

Text messages sent by Diego = 18

Text messages sent by his sister = x

Ratio = 18 : x

It is a proportional relationship,

3 : 4 :: 18 : x

Product of extremes = Product of means

3x = 18*4

3x = 72

$\frac{3x}{3}=\frac{72}{3}\\x=24$

Difference = 24 - 18 = 6

Therefore,

His sister sent 6 more messages than Diego.