Joy makes 6.5 litres of soup correct to the nearest 0.5 litre. she serves the soup in 280 ml portions, correct to the nearest 10 ml. 22 people order this soup. does joy definitely have enough soup to serve 22 people?

Joy definitely does have enough soup for 22 people.

Step-by-step explanation:

Upper Bound: 285ml  turn it to 0.285 L                      10÷2=5

280ml

Lower Bound: 275ml turn it  to 0.275 L

Upper Bound: 6.75 L                           0.5÷2=0.25

6.5 Litters

Lower Bound:6.25  L

6.75÷0.275=24.54 or 25  

6.25÷0.285=21.92 or 22

22≤x<25 Joy definitely does have enough soup for 22 people.

The measurement uncertainty in the question gives the range within

which the true value of the given measurement can be found.

Yes, Joy definitely has enough soup to serve 22 people.

Reasons:

Volume of the soup Joy makes = 6.5 L ± 0.5 L = 6,500 mL ± 500 mL

Volume of soup per serving = 280 mL ± 10 mL

Number of people that order the soup = 22 people

Required:

If soup made is enough for 22 people

Solution:

The uncertainty in measurement, u, is expressed as follows;

X ± u

X - u ≤ True value ≤ X + u

Therefore;

Total volume ordered, V₀ = 22 × (280 ± 10) mL = 5,940 mL ≤ V₀ ≤ 6380 mL

The volume of soup made range is given as follows;

(6,500 - 500) mL ≤ M₀ ≤ (6,500 + 500) mL

Which gives;

6,000 mL ≤ M₀ ≤ 7,000 mL

The minimum amount of soup required to serve 22 people = 5,940 mL

The minimum amount of soup Joy makes = 6,000 mL

Therefore, Joy definitely has enough soup to serve 22 people.

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