Question

Six pears and three apples cost $3.90. Two pears and five apples cost $3.30. How much does one pear cost?

Answer 1

6p + 3a = 3.90
2p + 5a = 3.30

Those are you 2 equations. Are you familiar with the elimination method ?

Answer 2

not really can u help me

Answer 3

wouldnt it be .30 cents

Answer 4

6p + 3a = 3.90 -->(5)
2p + 5a = 3.30 -->(-3)
------------------
30p + 15a = 19.50 (result of multiplying by 5)
-6p - 15a = -9.9 (result of multiplying by -3)
------------------add
24p = 9.6
p = 9.6/24
p = .40 cents <-- your answer
Do you have any questions ?

Answer 5

lol i was sooo close thank u :)

Answer 6

anytime :)

Answer 7

im sorry wouldnt it be 12 for 6p*2p i was confused u got 30p

Answer 8

no, because I multiplied the first equation by 5 and the second equation by -3. I did this so that the a's would cancel out...be eliminated, hence the elimination method.

Answer 9

ooo ok i got confused lol sorry

Answer 10

i got more

Answer 11

lf you are so unsure, I can finish the problem and solve for a, then sub our known values in and check the problem...would you feel better if I did that ?

Answer 12

yes plzzz

Answer 13

ok...we know that p = .40 (40 cents)...lets sub .40 in for p in either of the original equations.
2p + 5a = 3.30
2(.40) + 5a = 3.30
.80 + 5a = 3.30
5a = 3.30 - .80
5a = 2.50
a = 2.50/5
a = .50 (50 cents)
Now we will check our answers...
6p + 3a = 3.90
6(.40) + 3(.50) = 3.90
2.40 + 1.50 = 3.90
3.90 = 3.90 (correct)

a = .50 (50 cents) and p = .40(40 cents)

Answer 14

do you have any questions ?

Answer 15

I understand that you have more problems to do ?
Do you need help ?

Answer 16

yes i do thank you soo much :)

Answer 17

are your questions posted or do you want to ask them here ?