School Fundraising Ideas

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Folsom elementary school sold 45 pizzas for a fundraiser. small pizzas sold for $7 each and large pizzas for $10 each. the total amount of funds received from the sale was $402. how many of each size pizza were sold? explain please?!!!

You have to set up to equations and do linear combinations to solve.
x-> small pizza y-> large pizza
x + y = 45
7x + 10y = 402
do linear comibnations

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  1. crazykoolhelper Said,

    You have to set up to equations and do linear combinations to solve.
    x-> small pizza y-> large pizza
    x + y = 45
    7x + 10y = 402
    do linear comibnations
    References :

  2. Cameron Said,

    What you want to do is create two equations with two unknowns. Using the universal variables (x,y) we know that x + y = 45. We also know that 7x + 10y = 402.

    If you times the first equation by 7 you get 7x + 7y = 315. Now, subtract the second equation. You get -3y = -87. So, Y equals 29. Then X equals 45-29 which is 16.

    So, there were 16 small pizzas and 29 large pizzas. We can check this because 16*7 plus 29*10 should equal 402. Sure enought, 112+290 does equal 402.
    References :

  3. dogsafire Said,

    S + L = 45
    7S + 10L = 402

    Solving by substitution:
    S = 45 – L

    7(45 – L) + 10L = 402
    315 – 7L + 10L = 402
    3L = 87
    L = 29

    S = 45 – L = 45 – 29 = 16
    References :

  4. Mike S Said,

    L+S=45 (number sold)
    7S+10L=402 (money collected)

    L=45-S

    7S+450-10S=402
    48=3S
    S=16 , hence L=29 number sold
    References :

  5. Mrs. Hernandez Said,

    something times 7 had to make that 2 at the end. What times 7 makes a 2 at the end????
    well how about 7*6=42

    subtract 42 from 402

    402
    - 42
    _____
    360

    how many tens go into 360?

    10

    360/10=36

    Sooo……..

    Six $7 pizzas were sold as well as 36 $10 pizzas.
    References :

  6. vlee1415 Said,

    x = # of small pizza sold
    y = # of large ones sold
    so
    (1) ` ` ` ` ` ` x + y = 45
    (2) ` ` ` ` ` 7x + 10y = 402
    (1) x 7 ` ` 7x + 7y = 315
    subtracting ` ` 3y = 87
    y = 29 large pizza
    x = 16 small pizza
    References :

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