# 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 $x$ then the sum of the three integers is: $ (x-1)+x+(x+1)=201 $ rearranging: $ 3x=201 $ , so $x=67$. 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 $w$, then the length is $l=2w+2$. The perimiter is: $ 2w+2l=2w+4w+4=52 $ . So we have the following equation for $w$ to solve: $ 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 $t$ and the number of fives be $f$.

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

The second condition tells us that:

$
5f+10t=100
$

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

$
f+2t=20
$

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

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

RonL