Question

PLEASE HELP MEEE
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?

1

2

3

5

Answer 1

Miranda: x +y = 5
owen: 3x +2y = 12
x = apples
y = oranges
...now solve simultaneous equation...
i'd recommend substitution

Answer 2

How do I do substitution?

Answer 3

I did this in like 8th grade but I cant remember how, can u restart my brain by giving me a push in the right direction?

Answer 4

Miranda: x +y = 5 Equation 1
Owen: 3x +2y = 12 Equation 2

rearrange equation 1 to get y = 5 - x
sub the new equation into equation 2
3x + 2y = 12
3x + 2(5 -x) = 12
so x = ...?

Answer 5

Ok.. so far to figure it out I subtracted 3 and subtracted it from the 12... and got
x+2(5-x)=9

Answer 6

Is that correct so far?

Answer 7

no

Answer 8

..Ok. Let me try something else.

Answer 9

3x + 2y = 12
3x + 2(5-x) = 12
3x + 10 -2x = 12
3x - 2x = 12 - 10
x = 12-10
x = 2
so mirinda originally has 2 apples
and as she starts out with 5 fruit, she also has 3 oranges

Answer 10

Ok so u distribute the 2 with whats in the parenthesis first?

Answer 11

maybe i described it poorly at the start
x = number of apples Mirinda has
y = number of oranges Mirinda has

and yeah, use BODMAS to do the correct order of operations

Answer 12

BODMAS? I only know of PEMDAS?

Answer 13

ok use that then, im in Aus, so they teach it differently down here, sorry ;)

Answer 14

Oh thank you so much! I just didn't do my homework for my next class and im trying to hustle through it but I don't want to get them wrong. Thank u.. I took notes to try for next time.

Answer 15

so yeah:
expand out the brackets
add/subtract like terms
divide if necessary to isolate the term u want

Answer 16

all good, always welcome

Answer 17

let the number of apple and oranges bought by miranda be x and y respectively,Therefore,
x+y=5(Miranda) and,
3x+2y=12(owen)
y=5-x....Substituting this in Owen's equation.3x+2(5-x)=12
will be,3x+10-2x=12
Group like terms together
x=12-10
x=2 and y=5-2=3
Therefore,Miranda has 2 Apples