The equation which can be used to find the number of quarters and nickels is; n + q = 84, 0.05n + 0.25q = 17.80.
<h3>Quarters and nickels</h3>
- Total coins = 84
- Total value = $17.80
let
- Number of quarters = q
- Number of nickels = n
n + q = 84
0.05n + 0.25q = 17.80
From equation (1)
n = 84 - q
Substitute into (2)
0.05n + 0.25q = 17.80
0.05(84 - q) + 0.25q = 17.80
4.2 - 0.05q + 0.25q = 17.80
- 0.05q + 0.25q = 17.80 - 4.2
0.20q = 13.60
q = 13.60 / 0.20
q = 68
Substitute q = 68 into
n + q = 84
n + 68 = 84
n = 84 - 68
n = 16
Therefore, the number of quarters and nickels are 68 and 16 respectively.
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The profit is Rs.4800.
<h3>What is profit?</h3>
When, in a transaction, the selling price is greater than the cost price, it means we earn a profit. It is calculated with the help of the formula: Profit = Selling price - Cost price.
Given that,
S.P =$6000
C.P = $6000
If, 1$ = Rs.115.4 (in cost price)
1$ = Rs.116.20 (in selling price)
Then,
C.P = Rs. 115.40×6000
S.P = Rs. 116.20×6000
Then,
Profit = S.P-C.P
= 116.20×6000 -115.40×6000
= (116.20-115.40)×6000
= 0.80×6000
= Rs.4800
Hence, The profit is Rs.4800.
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2000 + 16 = 2016
1008 * 2 = 2016
3000 - 984 = 2016
8064 / 4 = 2016
there are 4 different ways
