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Joe spends 2/5 of his money on a jacket and 3/8 of his money on a shirt. He spends the rest on a pair of pants. What fraction of his money does he use to buy the pants?

Respuesta :

briedabro
2/5 = 16/40
3/8 = 15/40
15/40 + 16/40 = 31/40
40/40 - 31/40 = 9/40
he uses 9/40 of his money to buy the pants
soneyedesola44

Joe will use 9/40 to buy the pants

  • Let X = Amount Joe used to buy a jacket; X = 2/5
  • Let Y = Amount Joe used to buy a shirt; Y = 3/8
  • Let M = Amount of money Joe has got; M = ?
  • Let P = Amount of money Joe use to buy pant; P = ?

Further Explanation

Addition of X (amount Joe used to buy a jacket) and M (amount Joe used to buy a shirt) subtracted from the fraction of total amount he has got. i.e: M – (X + Y)

Therefore, P (the amount Joe used to buy the pants) = M – (X + Y)

P = M – (X + Y)

Therefore,

= X + Y  

= 2/5 + 3/8

= (8 x 2) + (5 x 3) / 40

= (16) + (15) / 40

= 16 + 15 / 40

X + Y = 31/40

Since the lowest common denominator of the fraction of X and Y = 40, then the fraction of M = 40/40

Thus, M = 40/40

Recall, P = M – (X + Y)

Therefore,

P = 40/40 – 31/40

P = (1 X 40) – (1 X 31) / 40

P = (40) – (31) / 40

P = 40 – 31 / 40

P = 9/40

Therefore, the amount of money Joe used to buy = 9/40

LEARN MORE:

  • fraction brainly.com/question/6201432
  • mixed numbers brainly.com/question/12853142
  • Lowest common denominator  brainly.com/question/10962736

KEYWORDS:

  • lowest common denominator
  • numerator
  • fractions
  • subtraction
  • addition