The number of quarters and dimes John has, obtained by expressing the information using equations are;
John has 14 quarters and 8 cents
How the number of quarters and cents are found
A quarter is 25 cents ($0.25) and a dime is ten cents, which is $0.10
The number of quarters and cents John has = 22
Let x represent the number of quarters John has and let y represent the number of cents, we get;
0.25·x + 0.1·y = 4.3
x + y = 22
y = 22 - x
0.25·x + 0.1·y = 0.25·x + 0.1 × (22 - x)
0.25·x + 0.1 × (22 - x) = 0.15·x + 2.2
0.15·x + 2.2 = 4.3
0.15·x = 4.3 - 2.2
x = (4.3 - 2.2)/0.15
x = 14
The number of quarters John has are; x = 14 quarters
y = 22 - 14
y = 8
The number of dimes John has are y = 10 dimes