Last month, Ciara spent $rac{1}{5}$ of her pocket money on snacks and spent $rac{1}{2}$ of her pocket money on phone credit - Junior Cycle Mathematics - Question 3 - 2014

Let the total pocket money be represented by $x$. Since Ciara spent rac{7}{10} of her pocket money, the remaining amount that she saved into her credit union account can be represented as:

rac{3}{10} x = 12

To find the total pocket money, we rearrange the equation:

x = 12 imes rac{10}{3} = 40

Thus, Ciara received €40 for the month.

To distribute the sweets, we first determine the total ratio of the children's ages. The ages are 2, 3, and 4, which total:

$$2 + 3 + 4 = 9 ext{ parts}$$

Next, we find the value of each part:

rac{45 ext{ sweets}}{9 ext{ parts}} = 5 ext{ sweets per part}

Finally, we can calculate the number of sweets for each child:

• 2 years old: $2 imes 5 = 10$ sweets
• 3 years old: $3 imes 5 = 15$ sweets
• 4 years old: $4 imes 5 = 20$ sweets