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Kobotan [32]
3 years ago
12

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 1

8 text messages. How many more text messages did his sister send?​
Mathematics
1 answer:
ipn [44]3 years ago
7 0

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.

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