Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 24, 2023

Calculate the initial payment for a safari holiday for 4 people. The holiday costs $£ 2000$ per person and the admin fee is $£ 25$ . The formula is $p=a+\frac{n c}{10}$ , where $p$ is the initial payment (£) and $a$ is the admin fee (£).

STEP 1

Assumptions1. The cost of the holiday per person is £2000. The number of people going on the holiday is43. The administration fee is £254. The formula to calculate the initial payment is $p=a+\frac{n c}{10}$ , where $p$ is the initial payment, $a$ is the administration fee, $n$ is the number of people, and $c$ is the cost per person.

STEP 2

We can start by plugging in the given values into the formula.
$p = a + \frac{n c}{10}$

STEP 3

Substitute the given values into the formula.
$p = £25 + \frac{ \times £2000}{10}$

STEP 4

Perform the multiplication in the fraction.
$p = £25 + \frac{£8000}{10}$

STEP 5

Perform the division in the fraction.
$p = £25 + £800$

STEP 6

Finally, add the administration fee to the cost of the holiday to find the initial payment.
$p = £25 + £800 = £825$ The initial payment needed when booking a safari holiday for4 people is £825.

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