Question

For every 3 macaron lovers, there are 10 croissant lovers. If there are 100 croissant lovers, how many macaron lovers are there?​

Answer 1

30 macaron lovers

Explanation:

We can use a proportion to solve this problem. A proportion is a statement that two ratios are equal.

In this case, we know the following proportion:

`\sf \frac{ 3 \textsf{ macaron lovers }}{10 \textsf{ croissant lovers } } = \frac{\textsf{ x macaron lovers }}{\textsf{100 croissant lovers}}`

We want to find x, the number of macaron lovers for 100 croissant lovers.

To do this, we can cross-multiply:

`\sf \textsf{ 3 macaron lovers } * 100 \textsf{ croissant lovers} = 10 \textsf{ croissant lovers} * \textsf{x macaron lovers }`

Simplify:

`\sf \textsf{ 300 macaron lovers } =10 \textsf{ croissant lovers} * \textsf{x macaron lovers }`

Simplify for x.

`\sf x =\frac{\textsf{ 300 macaron lovers } }{ 10 \textsf{ croissant lovers} }`

`\sf x = 30 \textsf{ macaron lovers}`

Therefore, there are 30 macaron lovers for 100 croissant lovers.