Katie spent $465 on dvds and cds. the cds cost $15 each, and the dvds cost $19 each. a total of 27 cds and dvds were purchased. how many of each did she buy?

(solve by substitution or elimination methods only)

12 CDs and 15 DVDs

Step-by-step explanation:

Let

x> the number of CDs

y---> the number of DVDs

we know that

x+y=27 > x=27-y > equation A

15x+19y=465 > equation B

Solve by substitution

substitute equation A in equation B and solve for y

15(27-y)+19y=465

405-15y+19y=465

4y=465-405

4y=60

y=15 DVDs

Find the value of x

x=27-y

x=27-15=12 CDs

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step-by-step explanation: