Thread: Practice Test Problems- Can you help?

I have a few practice problems that I would like solved so I can see how to do them. If you can help I will be so grateful!!

1. The sum of three consecutive integers is 201. Find the integers.

2. The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52cm find the dimensions of the rectangle.

3. Anna has 12 bills in her wallet, some $5 and some $10. The total value of the bills is $100. How many of each bill does Anna have?

These are just practice and I need to see how they are done so that I understand how to do them. My test is tommorow so any help before then will be appreciated. I thank you all dearly. Hope to hear from some of you soon!!!

Originally Posted by foofergutierrez

I have a few practice problems that I would like solved so I can see how to do them. If you can help I will be so grateful!!

1. The sum of three consecutive integers is 201. Find the integers.

Let the middle integer be then the sum of the three integers
is:



rearranging:

,

so .

RonL

Originally Posted by foofergutierrez

2. The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52cm find the dimensions of the rectangle.

Let the width of the rectangle be , then the length is .

The perimiter is:

.

So we have the following equation for to solve:



RpnL

Originally Posted by foofergutierrez

3. Anna has 12 bills in her wallet, some $5 and some $10. The total value of the bills is $100. How many of each bill does Anna have?

Let the number of tens be and the number of fives be .

Then the first condition in the problem tells us that (total of 12 bills).

The second condition tells us that:



(total value of the bills), now divide through by 2 to get:



which leaves you with a pair of simultaneous equations to solve:



RonL