Question

Pete is making 8 identical fruit baskets as gifts using a total of 168 apples and oranges to make the baskets. each basket contains some apples and 12 oranges. determine the number of apples that are in each basket.

Answer 1

To determine the number of apples in each basket, we can start by setting up some equations based on the information given.

1. Let the number of apples in each basket be \( a \).
2. Since each basket has 12 oranges, the total number of fruits in each basket is \( a + 12 \).
3. Pete is making 8 identical baskets, so the total number of fruits used for all baskets is:
\[
8(a + 12)
\]
4. According to the problem, the total number of apples and oranges is 168. Therefore, we can set up the equation:
\[
8(a + 12) = 168
\]
5. Now, let's solve for \( a \).

Start by simplifying the equation:
\[
8a + 96 = 168
\]

Now, subtract 96 from both sides:
\[
8a = 168 - 96
\]
\[
8a = 72
\]

Next, divide both sides by 8:
\[
a = \frac{72}{8}
\]
\[
a = 9
\]

Thus, the number of apples in each basket is \( \boxed{9} \).