A bag contains 1 dollar, 50 cents and 25 cents coins in the ratio 3:5:7. The total amount is $ 1856. Find the number of each denomination.

There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins

Step-by-step explanation:

The total amount of coins is given by x.

Ratio 3:5:7

are worth $1.

are worth 50 cents = $0.5.

are worth 25 cents = $0.25.

The total amount of money is $1856.

This means that:

Amount of coins of 1 dollar:

Amount of 50 cent coins:

Amount of 25 cent coins:

There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins

the answer should be a. snail

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0