An orchard is an area of land where fruit trees are grown. In an orchard
orange trees or other citrus trees are not grown. Ram had an orchard with certain number of
apple trees. He had to cut down five trees to control the insects. Each of the remaining trees
produced 210 apples, producing a total harvest of 41,790 apples.
Answer the following questions:
(a) How many trees did Ram’s orchard have initially?
(b) What is the total harvest produced if no tree is cut?
(c) If number of trees cut down decrease by 2 and each tree
produced 6 apples more, then what is total harvest?
(d)If trees were 300 and total harvest 62,500, each tree producing 250 apples, then how
many trees were cut?
(e) Ram’s harvest depends on
(i) number of trees cut. (ii) apples produced by each tree.
Answers
Question :
An orchard is an area of land where fruit trees are grown. In an orchard orange trees or other citrus trees are not grown. Ram had an orchard with certain number of apple trees. He had to cut down five trees to control the insects. Each of the remaining trees
produced 210 apples, producing a total harvest of 41,790 apples. Answer the following questions:
(a) How many trees did Ram’s orchard have initially?
(b) What is the total harvest produced if no tree is cut?
(c) If number of trees cut down decrease by 2 and each tree produced 6 apples more, then what is total harvest?
(d) If trees were 300 and total harvest 62,500, each tree producing 250 apples, then how many trees were cut?
(e) Ram’s harvest depends on
(i) number of trees cut.
(ii) apples produced by each tree.
(iii) both (i) and (ii)
(iv) None
Solution :
a) Total no of apples grown → 41,790
Each tree can produce 210 apples
199
- So there are 199 trees in the orchard
_____________________________________________
b) So according to the question 5 trees are cut and the no of trees we got is 199
If we don't cut 5 trees so
Total no of trees = 199 + 5 = 204
Now as we know each tree produces 210 apples
So 204 trees will produce → 204 × 210 apples
→ 42840
- So the total harvest will be 42840 apples
_______________________________________________
c) So here acc. to the question
2 trees are decreased from total = 199 – 2 → 197 trees
Each trees produces 6 apples more than usual
so 210 + 6 = 216 apples
So the total harvest becomes → 197 × 216
→ 42552
- So now the harvest has 42552 apples
_______________________________________________
d) Total harvest = 62500 apples
Total no of trees = 300
Apples produced by each tree → 300 × 250
→ 75000
Total harvest with 300 trees = 75000 apples
So difference in apples = 75000 – 62500 → 12500
→ 50
- So 50 trees were cut down
_______________________________________________
e) Ram's harvest depends on the number of trees cut and apples produced by each tree
- So the correct answer is option (iii)
Final Answers :
a) there are 199 trees in the orchard
b) the total harvest is 42840 apples
c) the harvest has 42552 apples
d) 50 trees were cut down
e) correct answer is option (iii)
An orchard is an area of land where fruit trees are grown. In an orchard orange trees or other citrus trees are not grown. Ram had an orchard with certain number of apple trees. He had to cut down five trees to control the insects. Each of the remaining trees produced 210 apples, producing a total harvest of 41,790 apples.
______________________
Answer the following questions:
(a) How many trees did Ram’s orchard have initially?
(b) What is the total harvest produced if no tree is cut?
(c) If number of trees cut down decrease by 2 and each tree produced 6 apples more, then what is total harvest?
(d)If trees were 300 and total harvest 62,500, each tree producing 250 apples, then how
many trees were cut?
(e) Ram’s harvest depends on
(i) number of trees cut. (ii) apples produced by each tree.
_______________________
(a.)Total no. of apples grown = 41,790
Apples grown on 1 tree = 210
______________________
(b.)No. of trees cut = 5
If he had not cut no. of trees = 199 + 5 = 204
1 tree produced apples = 210
204 trees produced apples = 210 × 204
______________________
(c.)If trees cut decreased by 2 = 5 - 2 = 3 + 199 = 202
If each tree could hold 6 apples more = 210 + 6 = 216
Than what will be the harvest = 202 × 216
______________________
(d.)If total no. of trees = 300
Total harvest = 62,500
Each tree produced = 250 apples
Trees cut = 300 - 250
______________________
(e.)