Let P = number of coins of pennies (1 penny = 1 cent)
Let N = number of coins of nickels (1 nickel = 5 cents)
Let D = number of coins of dimes (1 dime = 10 cents)
Let Q = number of coins of quarters (1 quarter = 25 cents)

a) P + N + D + Q = 284 coins, but P = 173 coins, then:
173 + N + D + Q =284 coins
(1) N + D + Q = 111 coins

b) D = N + 5 OR D - N =5 coins
(2) D - N = 5 coins

c) Let's find the VALUE in CENTS of (1) that is N + D + Q = 111 coins
5N + 10D + 25 Q = 2,278 - 173 (1 PENNY)
(3) 5N + 10D + 25Q = 2105 cents
Now we have 3 equation with 3 variables:

(1) N + D + Q = 111 coins
(2) D - N = 5 coins
(3) 5N + 10D + 25Q = 2105 cents
Solving it gives:
17 coins N ( x 5 = 85 cents)
22 coins D ( x 10 = 220 cents)
72 coins D ( x 25 = 1,800 cents)
and 173 P,
proof:
that makes a total of 85+2201800+172 =2,278 c or $22.78

7 0

3 years ago

In Germany, VAT is at 19%

aleksley [76]

Answer:

Amount of VAT paid by Jeremy is € 9.31 .

Step-by-step explanation:

As given

In Germany, VAT is at 19% .

Jeremy buys a calculator in Germany for €58.31

This price includes VAT.

Let us assume that the cost of calculator excluding tax is x .

19% is written in the decimal form .

$= \frac{19}{100}$

= 0.19

VAT Price = 0.19 × Cost price of calculator excluding VAT

= 0.19 × x

= 0.19x

Than

Cost of calaculator + VAT price = Cost of calculator including VAT

x + 0.19 × x = 58.31

x + 0.19x = 58.31

1.19x = 58.31

$x = \frac{58.31}{1.19}$

x = €49 (Approx)

Thus cost price of calculator excluding VAT is €49 .

VAT Price = 0.19 × Cost price of calculator excluding VAT

= 0.19 × 49

= € 9.31

Therefore the amount of VAT paid by Jeremy is € 9.31 .

6 0

2 years ago