GMATD11 wrote:

\frac{35}{3}x+\frac{85}{7}(100-x)=1210

Can you pls explain the Right hand side of equation.

Won't it be 12.10

The equation equates the total selling price. He gets $12.10 i.e. 1210

cents.

If he sold x oranges for 35/3 cents and (100-x) for 85/7 cents, this is a total of

(35/3) * x + (85/7) * (100-x)

cents. You equate cents to cents.

Also, you can use the weighted average formula here:

w1/w2 = (85/7 - 121/10)/(121/10 - 35/3) = 9/91

Total 9+91 is 100. So he sells 9 oranges at 35 for 3 and 91 oranges at 85 for 7.

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