Question

Martin has a combination of 33 quarters and dimes worth a total of $6. which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, martin has? q d = 6 25q 10d = 33 q d = 6 0.25q 0.1d = 33 q d = 33 25q 10d = 6 q d = 33 0.25q 0.1d = 6

Answer 1

The linear equations which can be used to find the number of quarters, q, and the number of dimes, d will be  $q+d=33$    &     $0.25q+0.1d=6$

What will be the Linear equation for the given data?

It is given that

Martin has a combination of 33 quarters and dimes worth a total of $6.

Here

q = number of quarters

d = number of dimes

The linear equation can be represented as

$0.1\ dollars =1 \ dime$

$0.25\ dollars = \ 1 \ quarters$

now the equation will be

$0.25q+0.1d=6$

The quarters and dimes in total 33. Therefore,

$q+d=33$

Therefore, the combined equation will be as follows:

$q+d=33$

$0.25q+0.1d=6$

Thus linear equations  will be $q+d=33$   &     $0.25q+0.1d=6$

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