You may also like

problem icon

Pizza Portions

My friends and I love pizza. Can you help us share these pizzas equally?

problem icon

Red Balloons, Blue Balloons

Katie and Will have some balloons. Will's balloon burst at exactly the same size as Katie's at the beginning of a puff. How many puffs had Will done before his balloon burst?

problem icon

In the Money

There are a number of coins on a table. One quarter of the coins show heads. If I turn over 2 coins, then one third show heads. How many coins are there altogether?

Pies

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Matthew and James recorded their answer as a fraction, 433 $\frac{1}{3}$ grams. Helena of Bebington and Christina, of Malborough Primary School, recorded their answers as decimal fractions. But each of these people used a combination of fractions and decimals to arrive at their solutions.

Can you follow their thinking as they calculated the answer?

Matthew explained the procedure he used:

I got my answer of 433 $\frac{1}{3}$ grams by putting the problem into an equation. These are the steps I took to get the answer:

  1. First I did the sum $200$g. + $125$g. which equalled $325$g.
  2. Then I wrote it down like this: $325$g. + $\frac{1}{4}$ pie = pie
    I then converted this to: $325$g. +$\frac{1}{4}$ pie = $\frac{4}{4}$ pie (or one whole pie).
  3. Next, I took $\frac{1}{4}$ of a pie from each side leaving me with: $325$g. = $\frac{3}{4}$ pie.
  4. I multiplied each side by $4$ which came out as: $1300$ = $3$ pies

    But Matthew only wanted to find the weight of one pie, so he did this last important step:

  5. I divided each side by $3$ and came to the final answer of:433 $\frac{1}{3}$ grams = $1$ pie."

Helena described her method this way:

$\frac{1}{4}$ pie = $325$g. divided by $3$, which is $108.3$g.
So, $4 \times \frac{1}{4}$ of a pie = $4 \times108.3$g. or $433.2$g.
$433.2$ grams is weight of a whole pie"