## raebaby420 2 years ago 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

1. Jack1

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

2. raebaby420

How do I do substitution?

3. raebaby420

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?

4. Jack1

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 = ...?

5. raebaby420

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

6. raebaby420

Is that correct so far?

7. Jack1

no

8. raebaby420

..Ok. Let me try something else.

9. Jack1

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

10. raebaby420

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

11. Jack1

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

12. raebaby420

BODMAS? I only know of PEMDAS?

13. Jack1

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

14. raebaby420

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.

15. Jack1

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

16. Jack1

all good, always welcome

17. KIEMA

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