Question

A grocer sold 25 fewer kilograms of fruit on the first day of operation than he did on the second day. On the third day, the grocer sold 2/7 of the fruit he had sold on the first and second days combined. How many kilograms of fruit did the grocer sell each day if he sold 315 kg in total?

Answer 1

Amount sold on the first, second, and third day is 110, 135, and 70 groceries respectively.

Ratios and proportions

Let the amount of grocer sold on the first day be x

If a grocer sold 25 fewer kilograms of fruit on the first day of operation than he did on the second day, then;

• Amount sold on the second day = x + 25

If on the third day, the grocer sold 2/7 of the fruit he had sold on the first and second days combined, then;

• Amount sold on the third day = 2/7(2x+25)

If the total groceries sold in total is 315kg, hence;

x + x + 25 + 2/7(2x+25) = 315
7(2x+25) + 2(2x+25) = 315(7)

9(2x+25) = 2205
2x+25 = 245

2x = 220

x = 110

Amount sold on the first day is 110 days

Amount sold on the second day is 135 days

Amount sold on the third day = 2/7(220+25)

Amount sold on the third day = 70

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