Answer:
2
24
5
4
Step-by-step explanation:
The given recipe makes 8 bags.
To make 16 bags, Lily needs twice as many ingredients because 8 + 8 = 16.
Since 1 cup of raisins makes 8 bags, 2 cups of raisins will make 16 bags.
To show the mathematical way:
Variable w = number of cups of raisins
1/8 = w/16
Cross multiply
1 × 16 = 8 × w
16 = 8w
2 = w
2 cups of pretzels makes 8 bags so 6 cups of preztels will make how many bags?
Set up an equation:
Variable x = number of bags
2/8 = 6/x
Cross multiply
2 × x = 8 × 6
2x = 48
x = 24
6 cups of pretzels will make 24 bags.
If 0.5 cup of pecans = 2.5 cups of crackers, then 1 cup of pecans = y cups of crackers?
Variable y = number of cups of crackers
Set up equation:
0.5/2.5 = 1/y
Cross multiply
0.5 × y = 2.5 × 1
0.5y = 2.5
y = 5
1 cup of pecans will need 5 cups of crackers
2 cups of pretzels = 8 bags, so 1 cup of preztels = z bags?
Variable z = number of bags
Set up equation:
2/8 = 1/z
Cross multiply
2 × z = 8 × 1
2z = 8
z = 4
