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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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tutorAnne

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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