## Proportion questions

*1. There are 21 coins in a jar. Two in every seven coins are silver. How many silver coins are there in the jar?*

Again, we could use a diagram to solve this problem:

🟡 🟡 🟡 🟡 🟡 ⚪️ ⚪️

🟡 🟡 🟡 🟡 🟡 ⚪️ ⚪️

🟡 🟡 🟡 🟡 🟡 ⚪️ ⚪️

When counted, we can see that there are **6 silver coins in the jar**.

Here is another way of solving the problem:

First, calculate how many groups of seven coins there are in the jar:

21 ÷ 7 = **3**

Now, multiply the number of silver coins in every group of seven by 3:

**2** x 3 = **6**

There are** 6 silver coins in the jar.**

*2. In a box of chocolates, 3 in every 8 are toffee-flavoured. If there are 48 chocolates in the box althogether, how many are toffee-flavoured?*

It would take a long time to draw a diagram of 48 chocolates, so for this question, using division and multiplication skills are more efficient.

First, calculate how many groups of eight chocolates there are in the box:

48 ÷ 8 = **6**

Now, multiply the number of toffee-flavoured chocolates in every group of eight by 6:

**3** x 6 = **18**

There are** 18 toffee-flavoured chocolates in the box.**