Answered

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you need to make 6000g of potato cakes. the ratio of potato, cheese and onion is 9:2:1. per every 175g of cheese = £2.25. how much will all of the cheese cost?

Sagot :

Let

potato be 9x,cheese be 2x and onion be x

  • 9x+2x+x=6000
  • 12x=6000
  • x=500

Cheese

  • 2(500)
  • 1000g

Total 175gs

  • 100/175
  • 5.714

Total cost

  • 5.714(2.25)
  • £12.85
semsee45

Answer:

£12.86 (nearest pence)

Step-by-step explanation:

Given ratio:

  • potato : cheese : onion = 9 : 2 : 1

Sum the ratios:  

⇒ 9 + 2 + 1 = 12

Divide the total weight by the sum of the ratios:

⇒ 6000 g ÷ 12 = 500

Multiply each ratio by 500 to find the amount of each ingredient needed to make 6000 g of potato cakes:

⇒ potato = 9 × 500 = 4500 g

⇒ cheese = 2 × 500 = 1000 g

⇒ onion = 1 × 500 = 500 g

If 175 g of cheese costs £2.25, then 1000 g of cheese costs:

⇒ (2.25 / 175) × 1000 = £12.86 (nearest pence)

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