The number of quarters and dimes with Maria are 17 and 8 respectively.
How are simultaneous linear equations solved?
Linear equations in mathematics are ones where the greatest power of the variable is one. A linear equation can only have one possible solution: a straight line. Thus, a simultaneous linear equation is a system of two linear equations in two or three variables that are solved concurrently to get a shared answer. Three methods are frequently used to solve simultaneous linear equations: substitution method, elimination method, and graphic method.
Let q be the number of quarters.
Let d be the number of dimes.
Given that the total amount is 5.05 in quarters and dimes
Therefore, 0.25 q + 0.10d = 5.05;
I once more, q = 2d + 1. — (ii) (ii)
Inferring from I and (ii), d = 4.80/0.60 = 8 and 0.25(2d + 1) + 0.10d = 5.05 and 0.60d = 4.80 respectively.
This is put into (ii), and the result is q = 2d + 1 = 2*8 + 1 = 17.
As a result, q = 17 and d = 8
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