Question

1.Beautiful Birds

There are two groups of birds sitting on a tree. In the first group there are x numbers of birds and in the second y. The leader of the first group said to the leader of the second that if one bird from your group come to my side then the number of birds in my group is 4 more than 2 times number of birds in your group. The leader of the second group replied that if one bird from your group come to my side then the number of birds in my group is 3 less than five times the number of birds present in your group.

1.1 ) Given below are two statements. Are the statement correct?
Statement Is the statement correct
For the first group leader statement, the number of birds is 2(y-1) +4 Yes/no
For the second group leader statement, the number of birds is 5(x+1) - 3. Yes/no
1.2). If the number of birds in the second group is 16 in the beginning, find the number of birds in the first group if one bird come to this group from the second.


2. Car Maintenance


A pronto lube garage charges £25 to lube any vehicle. Other work adds about €6000 per month to the
revenue. It costs pronto lube £6 in materials to service cars. Monthly operating expenses are €23,500.
2.1). Write an expression for net profit for C cars.
2.2). If the number of cars serviced in a particular month is 3000, find the profit
2.3). If the number of car serviced in a particular month is 900, then the garage got a
profit. True / false.​

Answer 1

Answer:

1.Beautiful Birds

There are two groups of birds sitting on a tree. In the first group there are x numbers of birds and in the second y. The leader of the first group said to the leader of the second that if one bird from your group come to my side then the number of birds in my group is 4 more than 2 times number of birds in your group. The leader of the second group replied that if one bird from your group come to my side then the number of birds in my group is 3 less than five times the number of birds present in your group.

1.1 ) Given below are two statements. Are the statement correct?

Statement Is the statement correct

For the first group leader statement, the number of birds is 2(y-1) +4 Yes/no

For the second group leader statement, the number of birds is 5(x+1) - 3. Yes/no

1.2). If the number of birds in the second group is 16 in the beginning, find the number of birds in the first group if one bird come to this group from the second.

2. Car Maintenance

A pronto lube garage charges £25 to lube any vehicle. Other work adds about €6000 per month to the

revenue. It costs pronto lube £6 in materials to service cars. Monthly operating expenses are €23,500.

2.1). Write an expression for net profit for C cars.

2.2). If the number of cars serviced in a particular month is 3000, find the profit

2.3). If the number of car serviced in a particular month is 900, then the garage got a

profit. True / false.