Joey and Romnick play in the same soccer team. Last Saturday, Romnick scored 3 more goals than Joey,

Discussion in 'Calculator Requests' started by math_celebrity, Jan 24, 2022.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    Joey and Romnick play in the same soccer team. Last Saturday, Romnick scored 3 more goals than Joey,but together they scored less than 9 goals. What are the possible number of goal Romnick scored?

    Let j be Joey's goals
    Let r by Romnick's goals

    We're given 1 equation and 1 inequality:
    1. r = j + 3
    2. r + j < 9
    Rearranging equation 1 for j, we have:
    1. j = r - 3
    2. r + j < 9

    Substitute equation (1) into inequality (2) for j:
    r + r - 3 < 9
    2r - 3 < 9

    Typing this inequality into our math engine, we get:
    r < 6
     

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