John and Erica each have a marble collection. • The number of marbles in John’s collection can be represented by x. • The number of marbles

Question

John and Erica each have a marble collection. • The number of marbles in John’s collection can be represented by x. • The number of marbles in Erica’s collection is 10 more than 4 times the number of marbles in John’s collection. • The total number of marbles in both collections is 270. Find the number of marbles in John’s collections.

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Diễm Kiều 3 years 2021-09-03T10:36:20+00:00 1 Answers 1 views 0

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  1. mocmien2
    0
    2021-09-03T10:38:10+00:00
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    Answer: John has 52 marbles in his collection

    Step-by-step explanation:

    Step 1

    LET The number of marbles in John’s collection can be represented by x.  The and the number of marbles in Erica  collection can be represented as =4x+ 10

    The total number of marbles in both collections is 270 such that the expression to solve the equation will be

    JOHN + ERICA = 270marbles

    X + 4X+ 10= 270

    Step 2— solving

    X + 4X+ 10= 270

    5X+ 10= 270

    5X= 270-10

    5X= 260

    X= 260/5

    =52

    John has 52 marbles in his collection

    Erica has 4x + 10 = 4x 52 + 10=218 marbles

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