Math

QuestionYou wrote 20 tickets this month, twice as many for defacing property. What fraction of tickets were for defacing property? A. 130\frac{1}{30} B. 120\frac{1}{20} C. 110\frac{1}{10} D. 15\frac{1}{5}

Studdy Solution

STEP 1

Assumptions1. The total number of tickets written last month is30. . The total number of tickets written this month is20.
3. The number of tickets written for defacing property last month is1.
4. The number of tickets written for defacing property this month is twice the number from last month.

STEP 2

First, we need to find out how many tickets were written for defacing property this month. We can do this by multiplying the number of tickets for defacing property last month by2.
Ticketsdefacingpropertythismonth=Ticketsdefacingpropertylastmonthtimes2Tickets_{defacing\,property\,this\,month} = Tickets_{defacing\,property\,last\,month} \\times2

STEP 3

Now, plug in the given value for the number of tickets for defacing property last month to calculate the number of tickets for defacing property this month.
Ticketsdefacingpropertythismonth=1times2Tickets_{defacing\,property\,this\,month} =1 \\times2

STEP 4

Calculate the number of tickets for defacing property this month.
Ticketsdefacingpropertythismonth=1times2=2Tickets_{defacing\,property\,this\,month} =1 \\times2 =2

STEP 5

Now that we have the number of tickets for defacing property this month, we can find the fraction of this month's tickets that were for defacing property. This can be done by dividing the number of tickets for defacing property this month by the total number of tickets this month.
Fractiondefacingpropertytickets=TicketsdefacingpropertythismonthTotalticketsthismonthFraction_{defacing\,property\,tickets} = \frac{Tickets_{defacing\,property\,this\,month}}{Total\,tickets_{this\,month}}

STEP 6

Plug in the values for the number of tickets for defacing property this month and the total number of tickets this month to calculate the fraction.
Fractiondefacingpropertytickets=220Fraction_{defacing\,property\,tickets} = \frac{2}{20}

STEP 7

Calculate the fraction of this month's tickets that were for defacing property.
Fractiondefacingpropertytickets=220=110Fraction_{defacing\,property\,tickets} = \frac{2}{20} = \frac{1}{10}The fraction of this month's tickets that were for defacing property is 110\frac{1}{10}.

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