Posted by jenny on Tuesday, August 29, 2006 at 11:53pm.
Dave & Jim separated the peanuts they had collected into two piles. One pile was for doubles (2 peanuts inside) and the other for triples (3 peanuts inside). When they finished shelling peanuts, Dave & Jim had 35 shells and 78 peanuts. How many shells were double?
Looks like a pretty fun problem to me. What have you tried so far?
Ok, well let's try to formulate this into a system of 2 equations in 2 unknowns.
Let x denote the number of peanuts with 2 inside and y the number with 3 inside.
Then we know that x+y=the number of peanuts = 35
We also know that 2*(peanuts with 2 inside) + 3*(peanuts with 3 inside) = total peanuts = 78 Thus our system is
x + y = 35
2x + 3y = 78
Now add -2 times the first equation to the second to get
-2x + 2x + -2y + 3y = -2*35 + 78 or
y = 8
You should be able to finish and verify the solution for the number of double shells.
Did you follow all the steps I did?
Let X = # double shells.
and Y = # triple shells.
You have two equations and two unknowns.
X + Y = 35 (total shells)
2X + 3Y = 78 (total peanuts)
Solve for X and Y. I hope this helps. Post your work if you get stuck and require more assistance.
Thanks for your help!
will you help my with math
Select the Post a New Question link above and present your question. We'll try to help.
- math - confuzzled, Monday, May 16, 2011 at 5:47pm
Answer this Question
5th grade - MATH - Can someone help me figure out the way to solve this math ...
Algebra 1 - So I have this problem: Dave can vote. (18 or over.) Dave is 5 years...
math - Chad buys peanuts in 2 pound bags. He repackages them into bags that hold...
math - susan wants to mix 10 pounds of virginia peanuts that cost $3.50 a pound ...
Math - Ernesto makes a snack mix. For every cup of raisins he adds 2 cups of ...
college - If cashews cost $5.00 per pound and peanuts cost $1.50 per pound how ...
Math - I have a question that i've worked through but can't seem to figure out ...
MAH - CHAD BUYS PEANUTS IN 2-POUND BAGS. HE REPACKAGES THEM INTO BAGS THAT HOLD ...
Math Word Problem - Cashews sell for $4.00 per pound and peanuts for $1.50 per ...
Algebra - A natural food store makes its own brand of trail mix out of dried ...