Question

5,049 +48=105

MD Model with Mathematics A comic store sells two rare
comic books for $1,824. The price of one comic book is
11 times as much as the price of the other.
• 'Write an equation to model the price of the less expensive
comic book. Then find the price.
• Write an equation to model the price of the more expensive
comic book. Then find the price.

Answer 1

Solution (a) :-

Let the cost of the less expensive comic book be x .

Then :-

`1284 - 11x = x`

Using this equation , we can find the cost of the less expensive comic book .

Price of the less expensive book :-

`1284 - 11x = x`

`11x + x = 1284`

`12x = 1284`

`x = (1284)/(12)`

`x = 107`

Cost of the less expensive book is 107 .

Therefore , the epice of the less expensive book = $ 107 .

Solution (b) :-

Cost of the more expensive book = 11x

Which means :-

`1284 - x = 11x`

`11x + x = 1284`

`12x = 1284`

`x = 107`

`11x = 11 * 107`

`= 1177`

Therefore , the price of the more expensive book = $ 1177 .