anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Jack1
  • Jack1
Miranda: x +y = 5 owen: 3x +2y = 12 x = apples y = oranges ...now solve simultaneous equation... i'd recommend substitution
anonymous
  • anonymous
How do I do substitution?
anonymous
  • anonymous
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?

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Jack1
  • 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 = ...?
anonymous
  • anonymous
Ok.. so far to figure it out I subtracted 3 and subtracted it from the 12... and got x+2(5-x)=9
anonymous
  • anonymous
Is that correct so far?
Jack1
  • Jack1
no
anonymous
  • anonymous
..Ok. Let me try something else.
Jack1
  • 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
anonymous
  • anonymous
Ok so u distribute the 2 with whats in the parenthesis first?
Jack1
  • 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
anonymous
  • anonymous
BODMAS? I only know of PEMDAS?
Jack1
  • Jack1
ok use that then, im in Aus, so they teach it differently down here, sorry ;)
anonymous
  • anonymous
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.
Jack1
  • Jack1
so yeah: expand out the brackets add/subtract like terms divide if necessary to isolate the term u want
Jack1
  • Jack1
all good, always welcome
anonymous
  • anonymous
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

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