reagancrocker2053
reagancrocker2053 reagancrocker2053
  • 04-02-2022
  • Mathematics
contestada

I have 47 nickels and dimes worth $4.20. How many of each type of coin do I have?

Respuesta :

clarch19
clarch19 clarch19
  • 04-02-2022

Answer:

37 dimes and 10 nickels

Step-by-step explanation:

let d = # dimes

let n = # nickels

we can set up a system of equations:

n + d = 47

.05n + .10d = 4.2

if we solve the first equation for 'n' we get:  

n = 47-d

now we can substitute this in for 'n' in the second equation:

.05(47-d) + .10d = 4.2

2.35 - .05d + .10d = 4.2

2.35 + .05d = 4.2

subtract 2.35 from each side to get:

.05d = 1.85

d = 1.85÷.05

d = 37

if d+n = 47 and d=37 then n = 10

Check:

.05(10) + .1(37) should equal 4.2

.50 + 3.7 = 4.2  [It Checks Out]

Answer Link

Otras preguntas

To what extent can the European Union be considered a success politically and economically?
What are four possibilities for concluding an essay?
a 5 ft ladder is leaning against a 4 ft wall. how far must the bottom of the ladder be from the base of the wall so that the top of laddet rests at the top of w
what is the square root of 2500????
What is the term utilized when union workers refuse to work due to contractual disagreements
Which organic molecule is responsible for the insulation of internal organs against shock?
What does CPU stand for. And it is the _____ of the computer
One math student, John, can solve these 6 math problems in 20 minutes while another student, Juaquine, can solve them at a rate of I problem per 4 minutes. Who
The Neolithic Revolution refers to the time when early humans were beginning to do what?
14.8256 in expanded form