AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
The schoolyard has trees. The number of maple trees is less than twice the number of oak trees. How many maple trees are there in the schoolyard?
Full solution
Q. The schoolyard has trees. The number of maple trees is less than twice the number of oak trees. How many maple trees are there in the schoolyard?
- Denote Oak Trees: Let's denote the number of oak trees as ''. According to the problem, the number of maple trees is less than twice the number of oak trees. We can express this relationship with the following equation:Number of maple trees = Number of oak trees Let's denote the number of maple trees as ''. So, we have:
- Maple Trees Equation: We also know that the total number of trees in the schoolyard is . This total includes both maple and oak trees. We can express this with another equation:Number of maple trees + Number of oak trees = Total number of trees
- Total Trees Equation: Now we have a system of two equations:) ) We can substitute the expression for from the first equation into the second equation to solve for :
- System of Equations: Combining like terms, we get:Now, we add to both sides of the equation to isolate the term with the variable :
- Solve for Oak Trees: Next, we divide both sides of the equation by to solve for : So, there are oak trees in the schoolyard.
- Find Maple Trees: Now that we know the number of oak trees, we can find the number of maple trees using the first equation:So, there are maple trees in the schoolyard.
More problems from Percent of change: find the original amount word problems
QuestionGet tutor help
QuestionGet tutor help