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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
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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Mathematics
3 years
2021-09-03T10:36:20+00:00
2021-09-03T10:36:20+00:00 1 Answers
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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