Question

Lisa has twice as many apples as oranges. The total number of apples and oranges is 18 How many apples and oranges does Lisa haver Write a system of equations where x represents the number of oranges and y represents the number of apples. (2 po Solve the system of equations using the substitution method(4 points) Write your answer as an ordered pair (1 point

Answer 1

Using the substitution method, we determined that Lisa has 6 oranges and 12 apples, represented by the ordered pair (6, 12).

Step-by-step explanation:

Lisa has twice as many apples as oranges, and together the number of apples and oranges is 18. To determine how many apples and oranges Lisa has, we can set up a system of equations. Let x represent the number of oranges and y represent the number of apples. The system of equations based on the problem is:

• y = 2x (Lisa has twice as many apples as oranges)
• x + y = 18 (The total number of fruit is 18)

We can use the substitution method to solve this system. First, we express y in terms of x using the first equation: y = 2x. Next, we substitute this expression into the second equation:

x + 2x = 18

Combining like terms, we get:

3x = 18

Dividing both sides by 3:

x = 6

Now, substitute x into the first equation to find y:

y = 2x = 2(6) = 12

Therefore, Lisa has 6 oranges and 12 apples. The ordered pair representing the number of oranges and apples Lisa has would be (6, 12).