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27 February, 09:17

4) The sum of two numbers is 21. The smaller number is three more than half the larger number. What are the two numbers?

13) You purchase 5 movies and a CD. The cost of the CD is $8.50. Your total bill before tax is $38.45. Write and solve an equation to find the cost of a movie.

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  1. 27 February, 09:34
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    4) smaller number is 9, larger number is 12

    13) 38.45=5m+8.5

    m=5.99

    Step-by-step explanation:

    x+y=21 the sum of two numbers is 21

    x-3=.5y the smaller number is 3 more than half the larger number

    multiply both sides by 2 and you get 2x-6=y

    plug that equation into the first equation and you get x+2x-6=21

    simplifying you get 3x-6=21 add 6 to both sides and you get 3x=27

    x=9 so the smaller number is 9 then you plug that back into the first equation and get y=12

    let m be the cost of 1 movie and c be the cost of the cd

    38.45=5m+c

    38.45=5m+8.5 this is the equation you use

    subtract 8.5 from both sides and you get 29.95=5m

    divide both sides by 5

    5.99=m the answer
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