Wayne bought blueberries. He uses 3/8 of the blueberries to make blueberry​ bread, 1/6 of the blueberries to make​ pancakes, and 5/12 of the blueberries to make jam. If Wayne uses 69 ounces of the blueberries he​ bought, how many ounces of blueberries did he​ buy?

Respuesta :

Should be 72 ounces, as he used 23/24 of the blueberries and 69/72 = 23/24.
fichoh

Using the principle of fraction addition, the total number of blueberries Wayne bought is the sum of the blueberries used to make bread, package, jam and the leftover, which totals 72 blueberries.

Let the total ounces of blueberries purchased = b

  • Blueberry bread = 3/8b
  • Pancakes = 1/6b
  • Jam = 5/12b

Total amount used :

  • 3/8b + 1/6b + 5/12b = 69

Adding the sum :

L. C. M of the denominator = 24

3/8b + 1/6b + 5/12b = (9b + 4b + 10b) /24

23b/24 = 69

Multiply both sides by 24 :

23b = 69 × 24

23b = 1656

Divide both sides by 23 to isolate b

23b/23 = 1656/23

b = 72

Therefore, the total number of blueberries, b Wayne purchased is 72.

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