Jenna bought 2 books and 3 DVDs for $91. Mary bought 1 book and 2 DVDs for $52 . What is the price of the DVD ?

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

Let the price of the DVD be D and the price of the book be B.

Jenna bought 2 books and 3 DVDs for $91

=> 2B + 3D = 91 ...(1)

Mary bought 1 book and 2 DVDs for $52

=> B + 2D = 52 ...(2)

(1) - 2*(2)

=> 2B + 3D - 2B - 4D = 91 - 104

=> -D = -13

=> D = 13

The cost of one DVD is $13.

hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

Let the price of the book be B and the price of the DVD be D.

Given that 2 books and 3 DVDs costs 91

==> 2B + 3D = 91 ..............(1)

Also, given that the cost is 1 book and 2 DVDs is 52.

==> B + 2D = 52

==> B = 52- 2D ...............(2)

To solve we will substitute (2) into (1).

==> 2(52-2D) + 3D = 91

==> 104 - 4D + 3D = 91

==> D = 104 - 91 = 13

Then the price of the DVD is $ 13 .

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