Mathematics

Question

17. Oscar, Lily and Jack collect souvenir coins. Oscar has 44 more coins than Lily and 48 more coins than Jack, Oscar has 6 more coins than Lily and Jack combined. (A) (B) (C) (D) 196 166 156 146 How many coins do Oscar, Lily and Jack have altogether?​

2 Answer


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  • Answer:

    166 marbles

    Step-by-step explanation:

    O - 44 = L

    O - 48 = J

    O - 6 = L + J

    I want to isolate O here

    O = 44 + L

    Plug it in

    44 + L - 6 = L + J

    38 + L = L + J

    38 = J

    Now we know that Jack has 38.

    O - 48 = J

    O - 48 = 38

    O = 86

    Now we know Oscar has 86.

    O - 44 = L

    86 - 44 = L

    42 = L

    Lily has 42.

    38 + 86 + 42 = .....166

    They have 166 coins altogether - Also Happy New Year!!! :D

  • Answer:

    b; 166 coins

    Step-by-step explanation:

    let o = oscar

    let l = lily

    let j = jack

    o = l + 44

    o = j + 48

    o = l + j + 6

    you can combine the first 2 equations together using substitution

    l + 44 = j + 48

    then reorder the 3rd to have l in front

    -l = -o + j + 6 -->

    l = o - j - 6

    o - j - 6 + 44 = j + 48

    then simplify the equation down

    o = 2j + 10

    then use the 2nd equation as substitution for o

    j + 48 = 2j + 10

    simplify

    j = 38

    finally you find o and l

    38 + 48 = o --> o = 86

    86 = l + 44 --> l = 42

    last but not least you add them together

    38 + 86 + 42 = 166

    b is the correct answer