Green Basket

need help with math question?

A fruit vendor keeps apples in four huge baskets of different colors. The blue basket has 30 more apples than the red one. The green basket has 20 apples less than six times the number of apples in the blue one. The yellow basket has 460 apples more than double the apples in the red one. The fruit vendor has a total of 1690 apples. The red basket has r apples in it. Write the expression for the apples in the yellow basket in terms of r. How many apples are in the green basket.

Say that the baskets have:
Red: r apples
Blue: r+30 apples
Green: 6(r+30) - 20 apples
Yellow: 2r + 460 ------------> this is the expression for the number of apples in the yellow basket in terms of r

Therefore, since there are 1690 apples in all, you add up all the apples in all the baskets:
r + (r+30) + (6r+180-20) + (2r+460) =1690
10r + 650 = 1690
10r = 1690-650
r = 1040/10
r =104 apples
Therefore, now! plug in the 104 for r in the expression for the apples in the green basket:
6(104+30) - 20
=784 apples in the green basket :) :)

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