Question

Kirk made a large batch of snack mix to sell during a football game. The snack mix was made of nuts, pretzels, chocolate chips, and raisins. The batch weighed 253 ounces altogether. The snack mix contained twice as many ounces of pretzels as nuts. It contained twice as many ounces of raisins as pretzels, and the same number of ounces of chocolate chips and raisins. How many ounces of raisins did the snack mix contain?

Answer 1

Kirk's snack mix contains 92 ounces of raisins. This was found by setting up equations based on the given relations between the amount of nuts, pretzels, chocolate chips, and raisins, which ultimately resulted in 92 ounces for raisins.

Step-by-step explanation:

To determine the number of ounces of raisins in Kirk's snack mix, we need to set up equations based on the information given. Let's denote the number of ounces of nuts as n. According to the question, we then have these relationships:

• Pretzels = 2n (Twice as many ounces of pretzels as nuts)
• Raisins = 2 (2n) = 4n (Twice as many ounces of raisins as pretzels)
• Chocolate chips = 4n (Same number of ounces of chocolate chips and raisins)

Adding up all the components, we get:

n + 2n + 4n + 4n = 253 ounces

This simplifies to:

11n = 253 ounces

Now, let's solve for n:

n = 253 / 11

n = 23 ounces

Since there are 4 times the ounces of raisins as nuts, we calculate the amount of raisins as follows:

Raisins = 4n = 4 * 23

Raisins = 92 ounces

Therefore, the snack mix contains 92 ounces of raisins.