Kevin and randy muise have a jar containing 74 coins, all of which are either quarters or nickels. the total value of the coins in the jar is $12.90. how many of each type of coin do they have?

Question

23-08-2017
Mathematics

contestada

Kevin and randy muise have a jar containing 74 coins, all of which are either quarters or nickels. the total value of the coins in the jar is $12.90. how many of each type of coin do they have?

Respuesta :

Otras preguntas

Sales $ 2,000,000 100 % $ 500,000 100 % $ 2,500,000 100 % Variable expenses 800,000 40 % 250,000 50 % 1,050,000 42 % Contribution margin $ 1,200,000 60 % $ 250,

What is the maximum number of electrons found in any energy level of the known elements? (Refer to the periodic table.)

the sum of 14 and a number is equal to 17

How many orders of fried chicken

the chart above shows the football scores for the Jets this season. Which of the following measures of central tendency would show the score that occur most oft

Where's the location of the process of photosynthesis inside of a cell. I need the most superb answer so I'm asking you to please, answer clearly.

Which of the following is INCORRECT? Group of answer choices The Spanish viceroyalties existed in isolation from one another. In the colonial period, Lima was o

(Prepared from a situation suggested by Professor John W. Hardy.) Lone Star Meat Packers is a major processor of beef and other meat products. The company has a

Exercise 7-29 (LO. 6) Tim, a single taxpayer, operates a business as a single-member LLC. In 2018, his LLC reports business income of $225,000 and business dedu

Tim mentions drinking at least 1 75-gram protein shake and 25 grams of branched chain amino acids each day in addition to his dietary intake. Tim didn't mention

eco92 eco92 · Answer 1 · 2017-08-30T10:44:54+02:00

1 quarter is 1/4 of a dollar, that is $0.25

1 nickel is $ 0.05

Let there be q quarters and n nickels. Thus the total value in the jar is:
$0.25q+$0.05n

The jar contains 74 coins, this means that :

i) q+n=74, so writing n in terms of q we have n=74-q

thus we have q quarters and 74-q nickels.

the total value of the coins in the jar is $12.90,

so

12.90=0.25q+0.05n substitute n with 74-q

12.90=0.25q+0.05(74-q)

12.90=0.25q+3.7-0.05q

12.90-3.7=0.25q-0.05q

9.2=0.2q

q=9.2/0.2=46

Thus n=74-q=74-46=28

Answer: 28 nickels, 46 quarters

Kevin and randy muise have a jar containing 74 ​coins, all of which are either quarters or nickels. the total value of the coins in the jar is ​$12.90. how many of each type of coin do they​ have?

Respuesta :

Otras preguntas

Kevin and randy muise have a jar containing 74 coins, all of which are either quarters or nickels. the total value of the coins in the jar is $12.90. how many of each type of coin do they have?