B2. A farmer paid 14000 SIT for tomato greenhouses. Fertilization and irrigation cost him 35500 SIT. For harvesting and packaging tomatoes in boxes at $12 \mathrm{~kg}$, he paid 150 SIT per box. For a box of tomatoes, he received 1800 SIT.

a) What is the minimum number of boxes of tomatoes he had to sell to cover the costs?

b) In total, he sold $840 \mathrm{~kg}$ of tomatoes. What was his profit?

Note: The farmer is not a tax obligor.
B2. Let's write the equation $14000+35500+x \cdot 150=x \cdot 1800$. The solution to the equation is $x=30$. The farmer must sell at least 30 baskets of strawberries to cover the costs. When selling 840 : $12=70$ baskets of strawberries, the costs are $14000+35500+70 \cdot 150=60000$ SIT, the revenue is $70 \cdot 1800=126000$ SIT, and the profit is $126000-60000=66000$ SIT.

We can solve the problem differently. The farmer had $14000+35500=49500$ SIT in costs before harvesting. Since he sold each basket of strawberries for 1800 SIT and had 150 SIT in costs for each basket, he effectively received 1650 SIT for each basket. He had to sell at least 49500 : $1650=30$ baskets to cover the costs. When selling 840 kg of strawberries in $840: 12=70$ baskets, the profit was received only from $70-30=40$ baskets, and it was $1650 \cdot 40=66000$ SIT.

## Scoring: Total: 7 points

![](https://cdn.mathpix.com/cropped/2024_06_07_e4711ece0d44ad9bc5c3g-7.jpg?height=57&width=1605&top_left_y=1639&top_left_x=311)

![](https://cdn.mathpix.com/cropped/2024_06_07_e4711ece0d44ad9bc5c3g-7.jpg?height=49&width=1539&top_left_y=1689&top_left_x=367)

Answer, e.g.: He must sell at least 30 baskets of strawberries. ........................... 1 p

Note: 1 point is deducted if it states that he must sell 30 baskets.

b) costs: $14000+35500+70 \cdot 150=60000$ SIT . . . . . . . . . . . . . . . . . . . . . . 1 p

![](https://cdn.mathpix.com/cropped/2024_06_07_e4711ece0d44ad9bc5c3g-7.jpg?height=52&width=1539&top_left_y=1907&top_left_x=367)

![](https://cdn.mathpix.com/cropped/2024_06_07_e4711ece0d44ad9bc5c3g-7.jpg?height=49&width=1537&top_left_y=1957&top_left_x=368)

Answer, e.g.: The profit amounts to 66000 SIT. ............................................... 1 p