Question

The cost of headphones in six times the cost of a charger. The total cost of two headphones and three chargers is AED 600. calculate the cost of the charger

Answer 1

Answer:

AED 40

Step-by-step explanation:

a= cost of earphones

$\frac{a}{6}$ = cost of charger

Therefore:

$(a \times 2)+(\frac{a}{6} \times3)=600$

Multiply both sides of the equation by 6

$6a\times2+a\times3=3600$

Multiply 6 and 2 to get 12

$12a+a\times3=3600$

Combine 12a and $a\times3$ to get 15a

$15a=3600$

Divide both sides by 15

$a=\frac{3600}{15}$

Divide 3600 by 15 to get 240

$a=240$

Cost of the charger:

$\frac{a}{6} =\frac{240}{6}$

Divide 240 by 6 to get the final answer which is 40

Final answer: AED40