Solve for q q/100*5000=2750

Math
q100⋅5000=2750
Combine q100 and 5000.
q⋅5000100=2750
Divide each term by 5000 and simplify.
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Divide each term in q⋅5000100=2750 by 5000.
q⋅50001005000=27505000
Simplify q⋅50001005000.
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Cancel the common factor of 5000 and 100.
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Factor 100 out of q⋅5000.
100(q⋅50)1005000=27505000
Cancel the common factors.
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Factor 100 out of 100.
100(q⋅50)100(1)5000=27505000
Cancel the common factor.
100(q⋅50)100⋅15000=27505000
Rewrite the expression.
q⋅5015000=27505000
Divide q⋅50 by 1.
q⋅505000=27505000
q⋅505000=27505000
q⋅505000=27505000
Cancel the common factor of 50 and 5000.
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Factor 50 out of q⋅50.
50⋅q5000=27505000
Cancel the common factors.
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Factor 50 out of 5000.
50⋅q50⋅100=27505000
Cancel the common factor.
50⋅q50⋅100=27505000
Rewrite the expression.
q100=27505000
q100=27505000
q100=27505000
q100=27505000
Cancel the common factor of 2750 and 5000.
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Factor 250 out of 2750.
q100=250(11)5000
Cancel the common factors.
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Factor 250 out of 5000.
q100=250⋅11250⋅20
Cancel the common factor.
q100=250⋅11250⋅20
Rewrite the expression.
q100=1120
q100=1120
q100=1120
q100=1120
Multiply both sides of the equation by 100.
100⋅q100=100⋅1120
Simplify both sides of the equation.
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Cancel the common factor of 100.
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Cancel the common factor.
100⋅q100=100⋅1120
Rewrite the expression.
q=100⋅1120
q=100⋅1120
Simplify 100⋅1120.
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Cancel the common factor of 20.
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Factor 20 out of 100.
q=20(5)⋅1120
Cancel the common factor.
q=20⋅5⋅1120
Rewrite the expression.
q=5⋅11
q=5⋅11
Multiply 5 by 11.
q=55
q=55
q=55
Solve for q q/100*5000=2750

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