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Shanti has just joined a DVD rental club. She pays a monthly membership fee of $4.95, and each DVD rental is $1.95. If Shanti's budget for DVD rentals in a month is $42, how many DVDs can Shanti rent in her first month if she doesn't want to go over her budget? ________ DVDs

Verified Answer :

x = number of DVDs

1 DVD costs $1.95 to rent
x DVDs cost 1.95x dollars to rent

tack on the membership fee of 4.95 and the total cost is 1.95x+4.95

set this equal to 42 and solve for x

1.95x+4.95 = 42
1.95x+4.95-4.95 = 42-4.95
1.95x = 37.05
1.95x/1.95 = 37.05/1.95
x = 19

So Shanti can rent 19 DVDs

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