Page 406 - Basic College Mathematics with Early Integers

S E C T I O N 5.3 I PROPORTIONS AND PROBLEM SOLVING 383

mg mg
One way to solve the applications below is to set up the proportion = .
ml ml
A solution strength of 15 mg of medicine in 1 ml of solution is available.

57. If a patient needs 12 mg of medicine, how many ml 58. If a patient needs 33 mg of medicine, how many ml
do you administer? do you administer?

A solution strength of 8 mg of medicine in 1 ml of solution is available.

59. If a patient needs 10 mg of medicine, how many ml 60. If a patient needs 6 mg of medicine, how many ml do
do you administer? you administer?

Estimate the following. See the Concept Check in this section.
1
61. It takes 1.5 cups of milk to make 11 muffins. 62. A favorite chocolate chip recipe calls for 2 cups of
2
Estimate the amount of milk needed to make 8
flour to make 2 dozen cookies. Estimate the amount
dozen muffins. Explain your calculation.
of flour needed to make 50 cookies. Explain your
calculation.

A board such as the one pictured below will balance if the following proportion is true:

first weight second weight first second
= first distance distance second
second distance first distance weight weight

Use this proportion to solve Exercises 63 and 64.
63. Find the distance n that will allow the board to 64. Find the length n needed to lift the weight below.
balance.

7 feet n feet
n feet

3 feet
40 pounds 60 pounds 125 pounds 400
pounds

65. Describe a situation in which writing a proportion
might solve a problem related to driving a car.