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9 February, 17:32

3. Mr. Sanchez's class sold fruit pies for $1.55 each and Mr. Kelly's class sold bottles of fruit juice for $1.40 each. Together, the classes sold 60 items and earned $88.20 for their school. Write and solve a system of equations that model the problem. Show all your work.

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  1. 9 February, 18:00
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    Step-by-step explanation:

    first you know haw much they both were then they sold 60 so you have to do 1.40,60 times and then you do 1.55,60 times
  2. 9 February, 19:18
    0
    The equations are

    a + b = 60 ... equation (i)

    1.55 (a) + 1.40 (b) = 88.20 ... equation (ii)

    The number of pies sold is 28 while the number of juice sold is 32.

    Step-by-step explanation:

    Mr Sanchez class sold pies for $ 1.55 each while Mr Kelly class sold juice for $ 1.40 each. Together both classes sold 60 items (pies and juice) and earned a combined total of $ 88.20.

    Let the number of pies sold = a

    let the number of juice sold = b

    The total number of pies and juice sold can be represented as

    a + b = 60 ... equation (i)

    The accumulated amount in dollars sold for both pies and juice can be represented as

    1.55 (a) + 1.40 (b) = 88.20 ... equation (ii)

    Two equation have been formed, so it is a simultaneous equation. The value of a and b can be gotten from the equations.

    a + b = 60

    1.55 (a) + 1.40 (b) = 88.20

    Make a the subject of the formula in equation (i)

    a = 60 - b

    Substitute the value of a in equation (ii)

    1.55 (60-b) + 1.40 (b) = 88.20

    93 - 1.55b + 1.40b = 88.20

    93 - 0.15b = 88.20

    0.15b = 93 - 88.20

    0.15b = 4.8

    b = 4.8/0.15

    b = 32

    Substitute b in equation (i)

    a + b = 60

    a + 32 = 60

    a = 60 - 32

    a = 28

    The number of pies sold is 28 while the number of juice sold is 32.
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