Jamil always throws loose change into a pencil holder on his desk and takes it out every two weeks. This time it is all nickels and dimes. There are 7 times as many dimes as nickels, and the value of the dimes is $3.90 more than the value of the nickels. How many nickels and dimes does jamil have?

Question

julia83 julia83

21-02-2017
Mathematics

contestada

Jamil always throws loose change into a pencil holder on his desk and takes it out every two weeks. This time it is all nickels and dimes. There are 7 times as many dimes as nickels, and the value of the dimes is $3.90 more than the value of the nickels. How many nickels and dimes does jamil have?

Respuesta :

Otras preguntas

Rewrite with only sin x and cos x. sin 3x - cos x

A scooter traveling at 4 m/s rides 800 meters. For what duration of time has the scooter been traveling?

Skin cells reproduce rapidly to heal a cut or scrape. How do mitochondria help the cells carry out this task? by providing the blueprint for new cells by allowi

Recently there has been discussion in the news about taxing junk food (soft drinks, for example) in an effort to reduce the incidence of obesity in the U.S. Do

find the square root of 625

Did the little ice age cause voluntary or involuntary migration ? explain

The velocity of an object is it’s speed and __ of motion .

A Hare was making fun of the Tortoise one day for being so slow. Do you ever get anywhere?" he asked with a mocking laugh. "Yes," replied the Tortoise, "and I g

the compound sodium sulfide consists of a ratio of two sodium ions (Na+) to one sulfide ion (Sa-). write the chemical formula for this compound

What political, religious, cultural and social references are embedded in her work? To what extent was Frida committed to these elements, beyond her artistry?

275426brad 275426brad · Answer 1 · 2017-02-26T09:30:07+01:00

One dime is worth 2 nickels, so having 7 times as many dimes as nickels means that the total value of the dimes is (7x2) x the total value of the nickels. So, his dimes are worth 14 times more than his nickels, and are worth $3.90 more than the nickels. So, if the value of nickels is n, and the value of dimes is d, n+3.90=d, and 14n=d. This means that 14n=n+3.90
14n is the same as saying n+13n, so "n+13n=n+3.90"
Cancel "n" from both sides, and you get "13n=3.90".
Divide out 13, and you get "n=0.30". Your total value of nickels is 30 cents, so you must have 6 nickels. Seven times as many dimes leaves you with 6 nickels and 42 dimes.