Problem 53
Unit cost of cranberry juice A 14 -ounce bottle of cranberry juice sells for \(\$ 1.19 .\) Give the unit cost in cents per ounce.
Problem 59
Set up and solve a proportion. A perfume is to be mixed in the ratio of 3 drops of pure essence to 7 drops of alcohol. How many drops of pure essence should be mixed with 56 drops of alcohol?
Problem 61
Set up and solve a proportion. A recipe for chocolate chip cookies calls for \(1 \frac{1}{4}\) cups of flour and 1 cup of sugar. The recipe will make \(3 \frac{1}{2}\) dozen cookies. How many cups of flour will be needed to make 12 dozen cookies?
Problem 68
A recipe for spaghetti sauce requires four 16 -ounce bottles of catsup to make two gallons of sauce. How many bottles of catsup are needed to make 10 gallons of sauce?
Problem 73
Simplify each complex fraction. Assume no division by 0. $$\frac{\frac{1}{y^{2}+y}-\frac{1}{x y+x}}{\frac{1}{x y+x}-\frac{1}{y^{2}+y}}$$
Problem 74
Set up and solve a proportion. An N-scale model railroad caboose is 3.5 inches long. If \(\mathrm{N}\) scale is 169 feet to 1 foot, how long is a real caboose to the nearest half inch?
Problem 75
Set up and solve a proportion. A model house is built to a scale of 1 inch to 8 inches. If a model house is 36 inches wide, how wide is the real house?
Problem 76
Set up and solve a proportion. In a scale drawing, a 280 -foot antenna tower is drawn 7 inches high. The building next to it is drawn 2 inches high. How tall is the actual building?
Problem 80
Set up and solve a proportion. An airplane ascends 100 feet as it flies a horizontal distance of 1,000 feet. The two triangles in the illustration are similar. How much altitude will it gain as it flies a horizontal distance of 1 mile? (Hint: 5,280feet = 1 mile.)
Problem 86
Explain how to tell whether the equation \(\frac{3.2}{3.7}=\frac{5.44}{6.29}\) is a proportion.