Expert: Abe Mantell - 8/26/2005

Question
if it is not possibly to solve tell me why?if it is then solve it
the sum of five consecutive numbers is 645 find the numbers.
1.the sum of two numbers is 15. three times greater subtracted from seven times the lesser equals 15. what are the numbers?
2.the length of a rectangle is 15 more than the width .the perimeter is 138.find the length and width.
3.fionna bought 3 sweaters on sale for 18.99 each. the sweaters normally sold for 25.95 each.She also bought 2 skirts for 24.99 each.how much did she save by buying the sweaters on sale?
4.a photographers is arranging an eigth grade class for a class photo.he put 10 people in the first row .he then put 6 more people in each row than in the row in front of it . how many students are in eighth grade if had 9 rows in all
5.ms.rodes had her kingergarden class sorting a pile of buttons when they separated the pile into groups of 5 there were 3 left over.when they separated them into groups of 7 ther there 3 left over.when they sepaerated them into groups of 9 there were none left over.what is the least number of buttons the students could have?

Answer
Hello Dee,

In the future, please direct your questions to the
appropriate group...these are NOT calculus related
questions.  These are algebra related questions.

Anyhow...

0. The sum of 5 conesecutive #'s=645
==> x+(x+1)+(x+2)+(x+3)+(x+4)=645
==> 5x+10=645 ==> 5x=655 ==> x=131
==> so the #'s are: 131, 132, 133, 134, 135

For the rest, I will give you the equations...then
let you solve them...OK?

1. Let x & y be the #'s, with x>y
==> x+y=15 and 7y-3x=15

2. L=length, W=width
==> L=W+15 and 2L+2W=138

3. She saved 3($25.95-$18.99)

4. 10+(10+6)+(10+12)+(10+18)+(10+24)+(10+30)
  +(10+36)+(10+42)+(10+48)

5. Let x=# of buttons.
==> x=5a+3, x=7b+3, x=9c...where a, b, and c are
--- whole numbers.  Now just try c=1, 2, 3, etc. until
--- it works.

Abe

BTW: What grade are you in?????