Math  /  Numbers & Operations

QuestionThe entry costs for a theme park at different times of year are shown below. Sophia and her entire family go to the theme park on Friday 11 August. There are 2 adults and 4 children in total in her family. What is the total cost? Give your answer in pounds (£)(£). \begin{tabular}{|c|c|c|} \hline Date & Type & Cost \\ \hline \multirow{2}{*}{ Mon-Fri (Oct-June) } & Adult & £10.59£ 10.59 \\ \cline { 2 - 3 } & Child & £6.19£ 6.19 \\ \hline \multirow{2}{*}{ Mon-Fri (July-Sept) } & Adult & £17.29£ 17.29 \\ \cline { 2 - 3 } & Child & £11.39£ 11.39 \\ \hline \multirow{2}{*}{ Sat-Sun (Nov-Apr) } & Adult & £13.89£ 13.89 \\ \cline { 2 - 3 } & Child & £9.79£ 9.79 \\ \hline \multirow{2}{*}{ Sat-Sun (May-Oct) } & Adult & £19.49£ 19.49 \\ \cline { 2 - 3 } & Child & £12.69£ 12.69 \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. Sophia and her family visit the theme park on Friday, 11 August.
2. The date falls under the Mon-Fri (July-Sept) pricing category.
3. There are 2 adults and 4 children in Sophia's family.
4. We need to calculate the total cost for 2 adults and 4 children.

STEP 2

1. Identify the correct pricing category.
2. Calculate the total cost for adults.
3. Calculate the total cost for children.
4. Sum the costs to find the total cost for the family.

STEP 3

Identify the correct pricing category for Friday, 11 August. According to the table, this falls under the "Mon-Fri (July-Sept)" category.

STEP 4

Calculate the total cost for 2 adults. The cost per adult in this category is £17.29 £17.29 .
Total cost for adults=2×£17.29=£34.58\text{Total cost for adults} = 2 \times £17.29 = £34.58

STEP 5

Calculate the total cost for 4 children. The cost per child in this category is £11.39 £11.39 .
Total cost for children=4×£11.39=£45.56\text{Total cost for children} = 4 \times £11.39 = £45.56

STEP 6

Sum the costs for adults and children to find the total cost for the family.
Total cost=£34.58+£45.56=£80.14\text{Total cost} = £34.58 + £45.56 = £80.14
The total cost for Sophia and her family to visit the theme park is:
£80.14\boxed{£80.14}

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