Question

If the recommended daily dose for vitamin C is 60 mg per day and there are 70 mg of vitamin C per 100 g of orange, how many 3 oz oranges are required to meet the weekly requirement? There are approximately 28.35 g in 1 oz. Round numeric answer to the nearest whole number.

Answer 1

Answer : The number 3 oz oranges required is 7.

Explanation :

As we are given:

Recommended daily dose for vitamin C per day = 60 mg

So, recommended daily dose for vitamin C per week = 7 × 60 mg = 420 mg

Now we have to determine the number of 100 g oranges required in a week.

Number of 100 g oranges required in a week =
`\frac{\text{Vitamin C required}}{\text{Vitamin C in one 100g of orange}}`

Number of 100 g oranges required in a week =
`(420mg)/(70mg)=6`

Total mass of oranges = 6 × 100 g = 600 g

Now we have to determine the mass of one 3 oz orange in grams.

As, 1 oz = 28.35 g

So, 3 oz = 3 × 28.35 = 85.05 g

Now we have to determine the number 3 oz oranges required.

Number 3 oz oranges required =
`\frac{\text{Mass of orange required in grams}}{\text{Mass of one 3 oz orange in grams}}`

Number 3 oz oranges required =
`(600g)/(85.05g)=7.054\approx 7`

Therefore, the number 3 oz oranges required is 7.