Problem: Six oranges weigh as much as 4 apples. Five bananas weigh the same as 3 pears. Ten bananas weigh the same as 8 oranges. How many pears and apples would you need to have their weights balanced?
2007-01-01 10:43:30 · 4 answers · asked by Anonymous in Education & Reference ➔ Homework Help
Let o stand for oranges, a stand for apples, b stand for bananas and p stand 4 pears. I'm hoping you know how to solve simultaneous equations.
6o=4a
5b=3p
10b=8o
substitue: if 10 bananas= 8 oranges and 5 bananas=3 pears then 10 bananas =6 pears:
10b=6p
10b also = 8o
so:
6p=8o
if 6p=8o and 6o=4a then multiply both equations to get the oranges to cancel out. in this case you would multiply:
by 4:
6o(4) =4a (4)
so:
24o=16a
and by 3:
6p(3) =8o(3)
so:
18p=24o
then you need to flip the sides of one of the equations so you have: 18p-24o=24o-24o or 18p-24o=0
then you add the 2 equations together:
18p-24o=0
24o=16a
the oranges cancel out so you are left with:
18p=16a
reduce to get:
9p=8a
or:
you would need 9 pears and 8 apples to have their weights balanced.
Hope that helped! ;)
2007-01-01 10:57:00 · answer #1 · answered by girl put ur records on 2 · 0⤊ 0⤋
9 pears and 8 apples. I AM SURE OF IT!!!
2007-01-01 11:21:33 · answer #2 · answered by Lynda Bianca 1 · 0⤊ 0⤋
4.5 pears equals the weight of 4 apples.......... Im pretty sure
2007-01-01 11:00:47 · answer #3 · answered by Portia 2 · 0⤊ 0⤋
eight apples equals nine pears.
2007-01-01 11:39:38 · answer #4 · answered by Mary R 5 · 0⤊ 0⤋