Marvin has a box containing apples and oranges.
*There are a total of 100 apples and oranges in the box.
*The number of apples in the box is 16 more than the number of oranges
How many apples are in the same box?
Answer:
Its a system of equation so
a+o=100
a=o+16
Distribute
o+16+o=100
2o+16=100 subtract 16
2o=84 divide each side by 2
o=42
How many apples? 100-42=58
**There are 58 apples in the box**
Is that correct?
looks good
Yes, that is correct! There are 58 apples in the box.
To solve this problem, we can set up a system of equations based on the given information. Let's denote the number of apples as 'a' and the number of oranges as 'o'.
From the first statement, we know that the total number of apples and oranges is 100, so we have the equation:
a + o = 100
From the second statement, we know that the number of apples is 16 more than the number of oranges, so we have the equation:
a = o + 16
To solve this system of equations, we can use the method of substitution or elimination. Let's use substitution.
We can rearrange the second equation to solve for 'a':
a = o + 16
Now substitute this expression for 'a' into the first equation:
(o + 16) + o = 100
Combine like terms:
2o + 16 = 100
Subtract 16 from both sides of the equation:
2o = 100 - 16
2o = 84
Divide both sides by 2:
o = 84 / 2
o = 42
So the number of oranges is 42.
To find the number of apples, substitute the value of 'o' back into either of the original equations. Let's use the second equation:
a = o + 16
a = 42 + 16
a = 58
Therefore, there are 58 apples in the box.