On a scale balance, 3 apples and 1 banana exaclty balance 10 plums. Also, 1 apple and 6 plums balance 1 banana. HOW MANY PLUMS WILL BALANCE ONE BANANA??
i started with:
a=apples
b=bananas
p=plums
3a+b=10p
a+6p=b
please show work so ill understand.
plz and ty.
2007-11-27 13:40:10 · 3 answers · asked by xbrunette1492 2 in Education & Reference ➔ Homework Help
Use substitution.
Take first equation; throw out "b" and put in "a + 6b" since they weigh the same.
3a + a + 6p = 10p
4a + 6p = 10p
4a = 4p
a = p
Apples weigh the same as plums (some pretty stinking big plums or some itty bitty apples, if you ask me).
Substitute p for a in your second equation.
p + 6p = b
7p = b
Seven plums weigh the same as one banana.
2007-11-27 13:47:50 · answer #1 · answered by Sage B 4 · 0⤊ 0⤋
b=a+6p
3a+b=10p
3a+a+6p=10p
4a=4p
a=p
therefore since a=p then 1 apple and 6 plums balance a banana then 7 plums could also balance 1 banana since a=p
2007-11-27 21:42:27 · answer #2 · answered by Dave aka Spider Monkey 7 · 0⤊ 0⤋
first of all, you spelled algebra wrong
you have a good start
from the first equation, you can get b=10p-3a
you can then set the b's equal to each other to get
10p-3a=a+6p
simplifying that would get you 4p=4a, and thus p=a
sub in p for a in the 2nd equation (a+6p=b), and then you get
7p=b
so the answer is 7 plums
2007-11-27 13:50:42 · answer #3 · answered by cathy 1 · 0⤊ 0⤋