Math Help 1 problem.?

Question

1.Two-thirds of a pile of coins are nickels, one-fourth of the pile is dimes, and the rest are quarters. If the total value of the coins is $4.75, how many of each type of coin are there?


A. There are 32 nickels, 12 dimes, and 4 quarters.
B. There are 35 nickels, 17 dimes, and 6 quarters.
C. There are 40 nickels, 15 dimes, and 5 quarters.
D. There are 42 nickels, 16 dimes, and 5 quarters.

Answer 1

Ok, your first step is to multiply how much each of the values are for example:
1 nickel + 5 cents
1 dime = 10 cents
1 quater = 25 cents

A. 32x5 + 12x10 + 4x25 =3.80 NO
B. 35x5 + 17x10 + 6x25 =4.96 NO
C.40x5 + 15x10 + 5x25 = 4.75 YES
D.42x5 + 16x10 + 5x25 = 4.95 NO

So you answer is C

Answer 2

p = total number of coins

(2/3)P *(5 cents) + (1/4)P *(10 cents) + (1-2/3 -1/4)P * (25 cents) = 475

use common dinominator of 12

8/12 *P*5 + 3/12 *P*10 + 1/12 *P*25 = 475
P*(40/12 +30/12 +25/12) = 475
P*(95/12) = 475
P = 475 * 12 / 95 = 60

Nickles = 2/3*60 = 40
So the answer is (C)

dimes = 1/4 * 60 = 15
Quarters = 1/12 * 60 = 5

Answer 3

C - just look at the available options

60 coins:
(2/3)60 = 40 nickels = $2.00
(1/4)60 = 15 dimes = $1.50
5 quarters = $1.25

2.00 + 1.50 + 1.25 = 4.75

Answer 4

Ok, your first step is to multiply how much each of the values are for example:
1 nickel + 5 cents
1 dime = 10 cents
1 quater = 25 cents

A. 32x5 + 12x10 + 4x25 =3.80 NO
B. 35x5 + 17x10 + 6x25 =4.96 NO
C.40x5 + 15x10 + 5x25 = 4.75 YES
D.42x5 + 16x10 + 5x25 = 4.95 NO

Answer 5

Chillhelp, REALLY take a close look at Grant D's answer.

He gave you the reasoning on HOW to answer the qustion without knowing the answer.

He deserves the 10

Answer 6

the answer is c.

Answer 7

C