Respuesta :
The number of fruits sold on the first day is 18.125 kg
How to find total fruits sold
Let
- Number of fruits sold on the second day = x
- Number of fruits sold on the first day = x - 25
- Number of fruits sold on the third day = 27 × {x + (x - 25)}
= 27 × ( x + x - 25)
= 27 × (2x - 25)
= 54x - 675
- Total fruits sold = 315
315 = x + (x - 25) + (54x-675)
315 = x + x - 25 + 54x - 675
315 = 56x - 700
315 + 700 = 56x
1015 = 56x
x = 1015 / 56
= 18.125 kg
Number of fruits sold on the second day = x
= 18.125kg
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The amount in kilogram of fruit the grocer sold each day is as follows:
First day sales(kg) = 110 kg
Second day sales(kg) = 135 kg
Third day sales(kg) = 70 kg
Ratios and proportions
Let
the amount he sold on the second day = x
He sold 25 fewer kilograms of fruit on the first day of operation than he did on the second day. Therefore, the first day sales will be as follows;
- x - 25
On the third day, the grocer sold 2 / 7 of the fruit he had sold on the first and second days combined. Therefore, the third day sales will be as follows:
- 2 / 7 (2x - 25)
If he sold 315 kg in total the amount he sold each day can be calculated as follows:
- x + x -25 + 2 / 7(2x -25) = 315
2x - 25 + 4x / 7 - 50 / 7 = 315
2x + 4x / 7 = 315 + 25 + 50 / 7
14x + 4x / 7 = 340 + 50 / 7
18x / 7 = 2380 + 50 / 7
18x / 7 = 2430 / 7
18x = 2430
x = 2430 / 18
x = 135
Therefore,
First day sales(kg) = 135 - 25 = 110 kg
Second day sales(kg) = 135 kg
Third day sales(kg) = 315 - 135 - 110 = 70 kg
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