Algebra 123

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Suppose that you want to mix two coffees in order to obtain 100 pounds of a blend. If x represents the number of pounds of coffee​ A, write an algebraic expression that represents the number of pounds of coffee B.

An algebraic expression that represents the number of pounds of coffee B is

Betsy, a recent​ retiree, requires

​$6,000

per year in extra income. She has

​$60,000

to invest and can invest in​ B-rated bonds paying

15​%

per year or in a certificate of deposit​ (CD) paying

5​%

per year. How much money should be invested in each to realize exactly

​$6,000

in interest per​ year?

The amount of money invested at 15%=

The amount of money invested at 5%=

A bank loaned out

​$10,000​,

part of it at the rate of

7%

per year and the rest at

17%

per year. If the interest received in one year totaled

​$1000​,

how much was loaned at 7 % question mark 7%?

The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for

$4

per pound with some Orange Pekoe tea that sells for

$2

per pound to get

400

pounds of the new blend. The selling price of the new blend is to be

$2.50

per​ pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are​ required?

The blend should have

pounds of Earl Grey and

pounds of Orange Pekoe.

Trent can deliver his newspapers in

10

minutes. It takes Lois

40

minutes to do the same route. How long would it take them to deliver the newspapers if they work​ together?

It will take

minutes.

A motorboat can maintain a constant speed of

1919

miles per hour relative to the water. The boat makes a trip upstream to a certain point in

4646

​minutes; the return trip takes

3030

minutes. What is the speed of the​ current?

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The speed of the current is

​mile(s) per hour.