Sketch the graph of each linear inequality

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Ответ:

rafaela12

03.02.2023

Mathematics

Yellow = x sweets

Blue = x + 15 sweets

Total number of sweets $=\dfrac{10x+75}{3}$

Step-by-step explanation:

A bag contains sweets of three different colours: orange, blue and yellow. It is given that

$\frac{2}{5}$ of the sweets are orange, then $\frac{3}{5}$ of the sweets are blue and yellow;there are 15 more blue sweets than yellow sweets.

Let x be the number of yellow sweets, then x + 15 is the number of blue sweets.

In total, there are x + x + 15 = 2x + 15 blue and yellow sweets.This number of sweets is exactly $\frac{3}{5}$ of all sweets, so there are

$\dfrac{5(2x+15)}{3}=\dfrac{10x+75}{3}$ sweets in total.

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