Question

If (5)/(6) c sugar is required for 1 gal of punch, how many gallons can be made with 2 c of sugar? e. If you have 22(3)/(8) in. of ribbon, and need 1(1)/(4) in. to decorate one doll, how many dolls can be decorated, and how much ribbon will be left over?

Answer 1

With 2 cups of sugar, 2.4 gallons of punch can be made. For the ribbon, 17 dolls can be decorated with 1.125 inches of ribbon leftover.

Step-by-step explanation:

To determine how many gallons of punch can be made with 2 cups of sugar when (5/6) cup is required for 1 gallon, we set up a proportion. We have:

(5/6) cups : 1 gallon = 2 cups : x gallons

Multiplying cross-products gives us: (5/6)*x = 2, which results in x = (2*6)/5. Therefore, x = 12/5 or 2.4 gallons of punch can be made with 2 cups of sugar.

For the ribbon question, to find out how many dolls can be decorated with 22(3/8) inches of ribbon when each doll requires 1(1/4) inches, divide the total ribbon by the amount needed per doll:

22(3/8) inches ÷ 1(1/4) inches = 22.375 inches ÷ 1.25 inches = 17.9 dolls. Since we can only decorate a whole number of dolls, we can decorate 17 dolls and we will have ribbon left. To find the leftover ribbon, we subtract the total ribbon used from the initial amount: 22(3/8) inches - (17 dolls * 1(1/4) inches) = 22.375 inches - 21.25 inches = 1.125 inches of ribbon left over.