Pizzas: cups of flour

Question

2: 5
4: 10
8: 20

What proportion do the values in the second column show to the values in the first column in this table? Write your answer as a fraction in simplest form.

Answer 1

To find the proportion of the values in the second column (cups of flour) to the values in the first column (pizzas), we can examine the ratio for each pair given in the table.

The pairs are:

1. For 2 pizzas: \[ \frac{5}{2} \]
2. For 4 pizzas: \[ \frac{10}{4} \]
3. For 8 pizzas: \[ \frac{20}{8} \]

Now let's simplify these fractions:

1. Simplifying \(\frac{5}{2}\): this is already in simplest form.
2. Simplifying \(\frac{10}{4}\): \[ \frac{10 \div 2}{4 \div 2} = \frac{5}{2} \]
3. Simplifying \(\frac{20}{8}\): \[ \frac{20 \div 4}{8 \div 4} = \frac{5}{2} \]

In each case, the proportion of cups of flour to pizzas is \(\frac{5}{2}\).

Thus, the overall proportion of the values in the second column to the values in the first column is \(\frac{5}{2}\).