Sadia is going to buy a new car. For the car, she can choose one body colour, one roof colour and one wheel type. She can choose from 19 different body colours 25 different wheel types The total number of ways Sadia can choose the body colour and the roof colour and the wheel type is 3325. Work out the number of different roof colours that Sadia can choose from.

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Sadia is going to buy a new car - Edexcel - GCSE Maths - Question 15 - 2019 - Paper 2

Question 15

Sadia is going to buy a new car. For the car, she can choose one body colour, one roof colour and one wheel type. She can choose from 19 different body colours 25 d... show full transcript

Worked Solution & Example Answer:Sadia is going to buy a new car - Edexcel - GCSE Maths - Question 15 - 2019 - Paper 2

Step 1

Step 1: Calculate the total combinations of body colours, roof colours, and wheel types

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Answer

Let the number of different roof colours be represented as $r$ . The total number of combinations can be expressed with the formula:

$Total = Body imes Roof imes Wheels$

Substituting the known values:

$3325 = 19 imes r imes 25$

Step 2

Step 2: Solve for the number of roof colours

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Answer

First, calculate the product of body colours and wheel types:

$19 imes 25 = 475$

Now, rewrite the equation:

$3325 = 475 imes r$

Next, isolate $r$ by dividing both sides by 475:

$r = \frac{3325}{475}$

Calculating the division gives:

$r = 7$

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