A) There are ten children at my party. Two cakes are shared equally between ten children. What part of a cake will each child get? b) At the party they also have 20 cup cakes on two plates. If the cup

$$\text{Total cakes} = 2$$ $$\text{Total children} = 10$$

$$\frac{2}{10} = \frac{1}{5}$$

Each child will get $\frac{1}{5}$ of a cake.

$$\boxed{\frac{1}{5} \text{ of a cake}}$$

b) At the party they also have 20 cup cakes on two plates. If the cup cakes are shared equally between the 10 children, how many cup cakes will each child get? What fraction of each plate will each learner get?

$$\text{Total cupcakes} = 20$$ $$\text{Total children} = 10$$ $$\text{Cupcakes per child} = \frac{20 \text{ cupcakes}}{10 \text{ children}} = 2 \text{ cupcakes}$$

$$\text{Number of plates} = 2$$ $$\text{Cupcakes per plate} = \frac{20 \text{ cupcakes}}{2 \text{ plates}} = 10 \text{ cupcakes/plate}$$

$$\frac{2}{10} = \frac{1}{5}$$

Each child will get 2 cupcakes and $\frac{1}{5}$ of each plate.

$$\boxed{\text{2 cupcakes, } \frac{1}{5} \text{ of each plate}}$$

$$\text{Number of children} = \text{Total cakes} \div \text{Fraction per child}$$ $$\text{Number of children} = 4 \div \frac{1}{7} = 4 \times 7 = 28 \text{ children}$$ $$\boxed{\text{28 children}}$$

• One whole cake and one seventh of a cake are not eaten. How many children did not eat cake?

$$\text{Children who did not eat} = \text{Cake not eaten} \div \text{Fraction per child}$$ $$\text{Children who did not eat} = \frac{8}{7} \div \frac{1}{7} = 8 \text{ children}$$ $$\boxed{\text{8 children}}$$

• If 35 children arrived at your party, how many more cakes do you need?

$$\text{More cakes needed} = \text{Total cakes needed} - \text{Cakes available}$$ $$\text{More cakes needed} = 5 \text{ cakes} - 4 \text{ cakes} = 1 \text{ cake}$$ $$\boxed{\text{1 cake}}$$