Question

Miranda bought some apples and oranges at the store for fruit salad. Owen bought three times as many apples and twice as many oranges. Miranda has 5 fruits in her bag, but Owen has 12 fruits in his bag. How many apples did Miranda purchase?

Answer 1

is owens equation 3a + 2o=12?

Answer 2

Lets use a for apples and o for oranges.

12=3a+2o

M=5
O=12

So yes, you're right.

Answer 3

and then marandas equation would be a+0=5

Answer 4

Yes.

Answer 5

but how do i solve it then

Answer 6

"Miranda bought some apples and oranges at the store for fruit salad. Owen bought three times as many apples and twice as many oranges."

Answer 7

well its a multiple choice question its ether
1
2
3
5

Answer 8

@TheSmartOne I'm kinda stuck on this.

Answer 9

thanks for trying though

Answer 10

No problem.

Answer 11

Hmmm.

Answer 12

Well first we would need to label what Miranda's fruits are.

Answer 13

i think i got it but tell me if i wrong or not

Answer 14

i think the 'a' term is 17 because i have to single out one of the terms

Answer 15

So if Miranda has oranges and apples. And o + a = 5

because she has 5 fruits

so Miranda's equation would be

o + a = 5

Answer 16

and 'o' equals 10

Answer 17

yes

Answer 18

And Owen has 3 times as many oranges and 2 times as many apples

And for Owen, the equation would be

3a + 2o = 12

Answer 19

yea

Answer 20

So your equation was correct :)

And now we use those 2 equations and solve for a :)

Answer 21

but im trying that and im not getting the right answer

Answer 22

3a + 2o = 12
a + o = 5

So those are our two equations. We can solve them in many ways. There are actually 3 ways to solve them-- Elimination, Substitution, and graphing

Which method do you know or do you find the esaist? :)

Answer 23

substitition

Answer 24

So since we are solving for a, lets make this equation

a + o = 5

If we move around terms in that so that we get what o = ?
we can substitute that back in and solve for a :)

Answer 25

So
a + o =5
o = ?

Answer 26

@inowalst You definitely tagged the correct person ;)

Answer 27

xD Haha, of course I did!

Answer 28

i am very confused

Answer 29

So
\(\sf a + o =5\)

Lets subtract a from both sides :)

\(\sf a + o - a = 5- a\)

What do we get if we simplify that?

Answer 30

o = -5a?

Answer 31

Actually, no.

\(\sf a - a + o = 5 - a\)

Which can be simplified to
\(\sf o = 5 - a\)

Answer 32

oh ok

Answer 33

And now we plug that in to our first equation we had which is

\(\sf 3a + 2o = 12\)

Answer 34

So since \(\sf o = 5- a\)

we plug that into \(\sf 3a +2o =12\)

And now just solve for a :)

\(\sf 3a +2o =12\)
\(\sf 3a +2\color{red}{(5-a)} =12\)

Answer 35

ohh ok thank you so much! im not completely sure how to give you a medal but yes

Answer 36

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Answer 37

ok cool thank you

Answer 38

And here is how to give a medal :)

http://goo.gl/kTF8qu