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How many children can get slices from 3 pizzas if each child gets a specific fraction (1/4, 1/6, or 1/5) of a pizza?

Mathematics

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3 parts
b

18 children\text{18 children}

c

15 children\text{15 children}

e

6 pizzas\text{6 pizzas}

5 children\text{5 children}

Step-by-step solution

10 steps

Here are the solutions for the problems:

Part a· 2 steps

Party 1: Each child must get one quarter of a pizza. How many children can get slices from 3 pizzas?

  1. Determine how many quarters are in one pizza.

    1 pizza=4 quarters1 \text{ pizza} = 4 \text{ quarters}

  2. Calculate the total number of quarters from 3 pizzas.

    3 pizzas×4 quarters/pizza=12 quarters3 \text{ pizzas} \times 4 \text{ quarters/pizza} = 12 \text{ quarters}

    Since each child gets one quarter, 12 children can get slices.
    The answer you wrote, 12 Children, is correct.

Part b

18 children\text{18 children}

Party 2: Do the same activity but this time each child must get one sixth of a pizza. How many children can get slices from 3 pizzas?

  1. Determine how many sixths are in one pizza.

    1 pizza=6 sixths1 \text{ pizza} = 6 \text{ sixths}

  2. Calculate the total number of sixths from 3 pizzas.

    3 pizzas×6 sixths/pizza=18 sixths3 \text{ pizzas} \times 6 \text{ sixths/pizza} = 18 \text{ sixths}

    Since each child gets one sixth, 18 children can get slices.

    18 children\boxed{\text{18 children}}

Part c

15 children\text{15 children}

Party 3: This time each child must get one fifth of a pizza. How many children can get slices from 3 pizzas?

  1. Determine how many fifths are in one pizza.

    1 pizza=5 fifths1 \text{ pizza} = 5 \text{ fifths}

  2. Calculate the total number of fifths from 3 pizzas.

    3 pizzas×5 fifths/pizza=15 fifths3 \text{ pizzas} \times 5 \text{ fifths/pizza} = 15 \text{ fifths}

    Since each child gets one fifth, 15 children can get slices.

    15 children\boxed{\text{15 children}}

Part d

Which party would you like to join? Why?

I would like to join Party 1.
This is because each child gets 14\frac{1}{4} of a pizza, which is a larger slice compared to 16\frac{1}{6} or 15\frac{1}{5}.

Part e

6 pizzas\text{6 pizzas}

You plan a party. You want to invite 30 children. You want to give them each one fifth of a pizza.

  • How many pizzas do you need?

  1. Determine the fraction of pizza each child gets.

    Each child gets 15 of a pizza.\text{Each child gets } \frac{1}{5} \text{ of a pizza.}

  2. Calculate the total number of pizzas needed for 30 children.

    Pizzas needed=30 children×15 pizza/child\text{Pizzas needed} = 30 \text{ children} \times \frac{1}{5} \text{ pizza/child} Pizzas needed=305=6 pizzas\text{Pizzas needed} = \frac{30}{5} = 6 \text{ pizzas} 6 pizzas\boxed{\text{6 pizzas}}
    • You have one pizza left after the party. How many children did not come?

  3. Determine how many children one pizza can serve if each child gets one fifth.

    1 pizza=5 fifths1 \text{ pizza} = 5 \text{ fifths} 1 pizza can serve 5 children1 \text{ pizza can serve } 5 \text{ children}

  4. If one pizza is left, it means the number of children who did not come is equal to the number of children that one pizza could have served.

    Children who did not come=5 children\text{Children who did not come} = 5 \text{ children} 5 children\boxed{\text{5 children}}
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