Alice has 12 more trees in her garden than Stephen has. After Stephen planted

Alice has 12 more trees in her garden than Stephen has. After Stephen planted 10 more trees and Alice dug out 4, together they had 36 trees. How many trees did each of them have at the beginning?

2 months ago

Solution 1

Guest Guest #1627358
2 months ago

Answer:

Stephen has 9 trees

Alice has 21 trees

Step-by-step explanation:

At the beginning:

Stephen = x trees

Alice = x + 12 trees

At the end:

Alice = (x + 12) - 4 trees

Stephen = x + 10 trees

Total = 36

Then

((x+12)-4)+(x+10)=36\\ \\(x+12-4)+(x+10)=36\\ \\(x+8)+(x+10)=36\\ \\x+8+x+10=36\\ \\2x+18=36\\ \\2x+18-18=36-18\\ \\2x=18\\ \\x=9

Stephen - 9 trees

Alice - 9 + 12 = 21 trees

Solution 2

Guest Guest #1627359
2 months ago

Answer:

Stephen has 9 trees

Alice has 21 trees

Step-by-step explanation:

Alice has 12 more trees in her garden than Stephen has. After Stephen planted 10 more trees and Alice dug out 4, together they had 36 trees. How many trees did each of them have at the beginning?

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