Homework#1

aa = amount of 30% saline solution

bb = amount of 50% saline solution0.45(800) = 360

Amount of Solution

Saline

aa bb 800800

0.30a0.30a 0.50b0.50b 360360

+ =30%solution

50%solution

45%solution

a b 800

0.30a 0.50b 360

Jenny mixes a 30% saline solution with a 50% saline solution to make 800 milliliters of a 45% saline solution. How many milliliters of each solution does she use?

#1

200 ml of 30% solution200 ml of 30% solution600 ml of 50% solution600 ml of 50% solution

Homework

Jenny mixes a 30% saline solution with a 50% saline solution to make 800 milliliters of a 45% saline solution. How many milliliters of each solution does she use?

aa = amount of 30% saline solution

bb = amount of 50% saline solution

a b 800

0.30a 0.50b 360 30a 50b 36000

30a 30b 24000

20b 12000b 600a 200

Homework

Peanuts cost $1.60 per pound and raisins cost $2.40 per pound. Brad wants to make 8 pounds of a mixture that costs $2.20 per pound. How many pounds of peanuts and raisins should he use?

#2

P = amount of peanuts (lbs.).

R = amount of Raisins (lbs.)

Amount (lbs)

Cost ($)

P R 8

+ = MixturePeanuts Raisins

1.60P 2.40R 17.60

P R 8

1.6P 2.4R 17.6

2.20(8) = 17.60

Homework

Peanuts cost $1.60 per pound and raisins cost $2.40 per pound. Brad wants to make 8 pounds of a mixture that costs $2.20 per pound. How many pounds of peanuts and raisins should he use?

#2

P = amount of peanuts (lbs.).

R = amount of Raisins (lbs.)P R 8

1.6P 2.4R 17.6 16P 24R 176

16P 16R 128

8R 48R 6P 2

2 pounds of Peanuts2 pounds of Peanuts6 pounds of Raisins6 pounds of Raisins

Homework#3

aa = amount of 10% aspirin

bb = amount of 25% aspirin0.16(10) = 1.6

Amount of medicine

aspirin

aa bb 1010

0.10a0.10a 0.25b0.25b 1.61.6

+ =10% 25% 16%

a b 10

0.10a 0.25b 1.6

A pharmacist wants to mix medicine that is 10% aspirin with a medicine that is 25% aspirin to make 10 grams of a medicine that is 16% aspirin. How many grams of each medicine should the pharmacist mix together?

Homework#3

aa = amount of 10% aspirin

bb = amount of 25% aspirina b 10

0.10a 0.25b 1.6

A pharmacist wants to mix medicine that is 10% aspirin with a medicine that is 25% aspirin to make 10 grams of a medicine that is 16% aspirin. How many grams of each medicine should the pharmacist mix together?

10a 25b 160

10a 10b 100

15b 60b 4a 6

6 grams of the 10% aspirin6 grams of the 10% aspirin4 grams of the 25% aspirin4 grams of the 25% aspirin

Homework

A coffee shop plans on selling it’s house blend for $8.50 per pound. The mix will be made from Mexican beans that cost $7 per pound, with Costa Rican beans that cost $9 per pound. How many pound of Costa Rican beans are needed to make 150 pounds of the house blend?

#4

M = amount of Mexican beans (lbs.).

C = amount of Costa Rican beans (lbs.)

Amount (lbs)

Cost ($)

M C 150

+ = BlendMexican Costa Rican

7M 9C 1275

M C 150

7M 9C 1275

8.50(150) = 1275

Homework

A coffee shop plans on selling it’s house blend for $8.50 per pound. The mix will be made from Mexican beans that cost $7 per pound, with Costa Rican beans that cost $9 per pound. How many pound of Costa Rican beans are needed to make 150 pounds of the house blend?

#4

M = amount of Mexican beans (lbs.).

C = amount of Costa Rican beans (lbs.)

M C 150

7M 9C 1275

7M 7C 1050

2C 225C 112.5112.5 pounds of Costa Rican beans112.5 pounds of Costa Rican beans