# Thread:

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:

$<br /> (x-1)+x+(x+1)=201<br />$

rearranging:

$<br /> 3x=201<br />$,

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:

$<br /> 2w+2l=2w+4w+4=52<br />$.

So we have the following equation for $w$ to solve:

$<br /> 6w+4=52<br />$

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:

$<br /> 5f+10t=100<br />$

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

$<br /> f+2t=20<br />$

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

$<br /> {f+t=12 \atop f+2t=20}<br />$

RonL
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