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17 September, 06:19

A disk cost $3 more than a tape. rolex bought five disks and two tapes. The total cost was $120. what was the price of a disk?

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  1. 17 September, 07:46
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    First, I would organize your information into equations. So, the first sentence would be:

    d = 3 + t d = disk and t = tape

    Second and third sentence would be the equation:

    5 d + 2 t = $120

    To find the price of the disk, you would follow these steps.

    5 (3 + t) + 2 t = 120 substitute d, with the equation that has a total, for

    (3 + 2), then solve for t

    15 + 5 t + 2 t = 120 distribute

    15 + 7 t = 120 add like terms

    7 t = 105 subtract from both sides

    t = 15 divide from both sides

    Then you substitute 15 in the first equation.

    d = 3 + t substitute

    d = 3 + 15 add

    d = 18

    So, d = 18 and t = 15. To check this, you just need to substitute the right variables.

    1) 18 = 3 + 15

    18 = 18

    2) 5 (18) + 2 (15) = 120

    90 + 30 = 120

    120 = 120

    When checking, we can see that the correct answer is $18 for the price of the disk.

    Answer: $18
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