A candy distributor needs to mix a 20% fat-content chocolate with a 60% fat-content chocolate to create 100 kilograms of a 56% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

Answer: They must mix

_______Kilograms of the 20% chocolate and

_________Kilograms of the 60% chocolate.

2.You need 630 mL of a 15% alcohol solution. On hand, you have a 45% alcohol mixture. How much of the 45% alcohol mixture and pure water will you need to obtain the desired solution?

You will need __________

mL of pure water

and

______________mL of the 45% solution.

3.You need a 75% alcohol solution. On hand, you have a 210 mL of a 35% alcohol mixture. You also have 90% alcohol mixture. How much of the 90% mixture will you need to add to obtain the desired solution?

You will need________________

mL of the 90% solution

to obtain

_______________mL of the desired 75% solution.

4.You have one type of nut that sells for $3.60/lb and another type of nut that sells for $5.50/lb. You would like to have 9.5 lbs of a nut mixture that sells for $5.40/lb. How much of each nut will you need to obtain the desired mixture?

You will need________________

lbs of the cheaper nut

and

___________________lbs of the expensive nut.

5.The Nutty Professor sells cashews for $7.10 per pound and Brazil nuts for $4.30 per pound. How much of each type should be used to make a 23 pound mixture that sells for $5.88 per pound?

Round answers to the nearest pound.

________________pounds of cashews

______________________pounds of Brazil nuts.

6.Francisco invests $7300 in two different accounts. The first account paid 7 %, the second account paid 14 % in interest. At the end of the first year he had earned $875 in interest. How much was in each account?

$_______________at 7 %

$_______________at 14 %.

7.Michael just retired, and has $730,000 to invest. A very safe Certificate of Deposit (CD) account pays 2.5%, while a riskier bond fund pays 4.5% in interest. Michael figures he needs $29,000 a year in interest to live on. How much should he invest in each account to make enough interest while minimizing his risk?

$_______________________at 2.5%

$_____________________________at 4.5%