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Chill dude.                          

Stop with the all caps.    

25 is the answer.

G = green sweets

Ratio of blue to green = 3:5

Ratios are essentially fractions, and can be converted into fraction form

Therefore, number of blue sweets is 3/5 of green sweets, which can also be represented as 3/5g

Number of green sweets to red sweets is 6:1

We can also flip this ratio around and the ratio would still have the same value.

Number of red sweets to green sweets = 1:6

In fraction form, the number of red sweets is 1/6 of green sweets, which is also 1/6g.

Since there are less than 270 sweets in the box, we can use this expression to represent the sweets in the box:

G + 3/5g + 1/6g < 270

Find a common denominator for the fractions.

5 * 6 = 30, thus a common denominator would be 30.

Since G is a variable with no coefficient, 1 would be implied because no coefficient is present.

So when multiplying G to get a common denominator, the numerator would be 30. 30/30 = 1

G * 30 = 1 * 30

G = 30/30g

Multiply the rest of the numerators and you’ll get:

30/30g + 18/30g + 5/30g < 270

Add.

1 + 18/30g + 5/30g = 1 23/30g

Convert this into an improper fraction.

53/30g < 270

Now divide both sides by 53/30.

(53/30g) ÷ (53/30) < 270 ÷ (53/30)

= g < 270 ÷ (53/30)

Dividing fractions is complex, so you can simply switch the numerator and denominator and multiply:

G < 270 x (30/53)

= g < 8,100/53

Since the number of red sweets to green sweets is 1/6g the number of green sweets, the number of red sweets is 1/6 of 8,100/53.

R = red sweets

R < 8,100/53 x 1/6

8,100 x 1 = 8,100

53 x 6 = 318

R < 8,100/318

318 goes into 8,100 25 times, regardless of any remainder.

Therefore, the greatest possible number of red sweets in the box is 25 red sweets.

Helpppppppp plzzzz thank youu

Please help. Find the value of X