# Thread: Practice Test Problems- Can you help?

1. ## 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 $100. How many of each bill does Anna have? These are just practice and I need to see how they are done so that I understand how to do them. My test is tommorow so any help before then will be appreciated. I thank you all dearly. Hope to hear from some of you soon!!! 2. Originally Posted by foofergutierrez I have a few practice problems that I would like solved so I can see how to do them. If you can help I will be so grateful!! 1. The sum of three consecutive integers is 201. Find the integers. Let the middle integer be$\displaystyle x$then the sum of the three integers is:$\displaystyle
(x-1)+x+(x+1)=201
$rearranging:$\displaystyle
3x=201
$, so$\displaystyle x=67$. RonL 3. Originally Posted by foofergutierrez 2. The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52cm find the dimensions of the rectangle. Let the width of the rectangle be$\displaystyle w$, then the length is$\displaystyle l=2w+2$. The perimiter is:$\displaystyle
2w+2l=2w+4w+4=52
$. So we have the following equation for$\displaystyle w$to solve:$\displaystyle
6w+4=52
$RpnL 4. 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 $\displaystyle t$ and the number of fives be $\displaystyle f$.

Then the first condition in the problem tells us that $\displaystyle t+f=12$ (total of 12 bills).

The second condition tells us that:

$\displaystyle 5f+10t=100$

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

$\displaystyle f+2t=20$

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

$\displaystyle {f+t=12 \atop f+2t=20}$

RonL