Question

Dany scored 93 in physics, 88 in mathematics, and a score in chemistry that is double his score in geography. The average score of all 4 courses is 79. What were his scores in chemistry and geography?
Linda scored a total of 265 point

Answer 1

Answer:

90

Step-by-step explanation:

Let x be Dany's score in geography. His score in chemistry is double his score in geography and it is equal to

2 x

The average of all four scores is 79. Hence

(93 + 88 + x + 2 x) / 4 = 79

Multiply both sides of the equation by 4

4×(93 + 88 + x + 2 x) / 4 = 4×79

Simplify

93 + 88 + x + 2 x = 316

Group like terms

3 x + 181 = 316

Solve for x

3 x = 135

3 x / 3 = 135 / 3

x = 45

score in geography = x = 45

score in chemistry = 2 x = 2 × 45 = 90

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

Answer 2

Answer:

$\huge\boxed{Chem = 90 \ marks , Geo = 45 \ marks}$

Step-by-step explanation:

Let the score of geography be x

=> Then, the score of chemistry will be 2x

So, the given condition is:

$Average = \frac{Sum \ of \ values}{No. \ of \ values}$

=> $79 = \frac{93+88+x+2x}{4}$

=> $79 = \frac{181+3x}{4}$

Multiplying both sides by 4

=> $79 * 4 = 181+3x$

=> 316 = 181 + 3x

Subtracting 181 to both sides

=> 316-181 = 3x

=> 135 = 3x

Dividing both sides by 3

=> 45 = x

OR

=> x = 45

So,

Chemistry = 45 * 2 = 90 marks

Geography = 45 marks