Question

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?

Answer 1

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

Answer 2

£12.86 (nearest pence)

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)