Given
she received 34 dimes and nickels combined from a costumer If the change totaled $2.05
find out how many dimes and nickels she receive
To proof
let the number of dimes = x
let the number of nickels = y
thus the equation becomes
x + y = 34
y = 34 -x
number of nickels = y = 34 -x
as given she change totaled $2.05
nickel and dimes value in$
1 nickel = $0.05
1 dimes = $ 0.10
FORMULA
value of the dimes + value of the nickel = total value
(0.10)x +(34 -x) 0.05 = 2.05
0.10x + 1.7 - 0.05x = 2.05
0.05x = 2.05 - 1.7
0.05 x = 0.35
x =7
thus the number of dimes = 7
the number of nickel = 27
Hence proved