Final answer:
To determine how many pounds of snack mix Lina can make, we need to calculate the cost of each ingredient and then divide her total budget by the cost per pound for the entire mix. Lina can make approximately 2.92 pounds of snack mix.
Step-by-step explanation:
To determine how many pounds of snack mix Lina can make, we need to calculate the cost of each ingredient and then divide her total budget by the cost per pound for the entire mix. Let's start by calculating the cost of each ingredient per pound:
- Chocolate chips cost $3 per pound
- Pretzels cost $8 per pound
- Popcorn costs $2 per bag, but we need to convert it to pounds. Assuming each bag is 1 pound, the cost per pound is also $2.
Next, we determine the ratio of each ingredient in the mix. Lina wants one part chocolate chips, three parts pretzels, and four parts popcorn, which means the total number of parts in the mix is 1+3+4 = 8 parts. Now, we can calculate the proportion of the budget that goes towards each ingredient:
- Chocolate chips: (1/8) * $70 = $8.75
- Pretzels: (3/8) * $70 = $26.25
- Popcorn: (4/8) * $70 = $35
Finally, we divide the cost of each ingredient by the cost per pound to find the number of pounds we can buy for each:
- Chocolate chips: $8.75 / $3 = 2.92 pounds
- Pretzels: $26.25 / $8 = 3.28 pounds
- Popcorn: $35 / $2 = 17.5 pounds
Since we want to make a party-sized mix, we need to consider the smallest number of pounds we can make with all three ingredients. The smallest value is 2.92 pounds, so Lina can make approximately 2.92 pounds of snack mix.