Tuesday, October 16, 2007

PROBLEM OF THE WEEK #8

Three apples and two pears cost 78¢. But two apples and three pears cost 82¢. What is the total cost of one apple and one pear?

12 comments:

Sarah L. said...

you could guess and check
78/2 is 39
and the take away and add so it would be like
40 and 38

Julie said...

i think you could make an equation to solve it.
2a+3p=3a+2p+4. then solve. the solution is p=a+4. then you could guess and check to find the solution.

Julia Emma said...

3a+2p=.78
2a+3p=.82
This problem is similar to the 1st POTW. So with this you can Multiply each by 5 then divide.

Mrs. Cooper said...

Hint...Although it is possible to find the cost of an apple and a pear individually, it is NOT necessary. The question is what is the cost of one apple and one pear.

Yvonne said...

Like Julia had said, you can make a formula like 2a+3p=82 and 2p+3a=78 but I'm using guess and check to make the formula true.

sarah said...

i agree that you can make the formula 3a + 2p = 78 and 2a + 3p = 82 but i know taht there has to be some way tofind the answer without guessing and checking

Mrs. Cooper said...

Remember...you want to know the cost of one apple and one pear together. You do NOT need to find the cost of one apple and the cost of one pear separately.
So if you can find a + p you're done!

Julie said...

Mrs. Cooper has a point (well of course...) but we are making this harder on ourselves. i said at first that you need to make an equation, but maybe you need to find an equation that involves a and p together.
a+p=?

Julie said...

I just thought of something!!!!!! Here's the equation that i just thought of:
3a+2p+2a+3p= $1.60
5a+5p= $1.60
10(a+p)= $1.60
a+p= .16

This is just combining the two equations!

Julie said...

I just thought of something!!!!!! Here's the equation that i just thought of:
3a+2p+2a+3p= $1.60
5a+5p= $1.60
10(a+p)= $1.60
a+p= .16

This is just combining the two equations!

michael L said...

i thnk gess and chek is the best way and change yur guess to get closer to the answer

Drew said...

Apply this method for this weeks POTW