# Solve Application Problems

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In our next example, we have to relate the quantities in a different way. Each ticket was either an adult ticket or a child ticket. To find out, we would follow the same logic we used above.

If he sold 20 child tickets, how many adult tickets did he sell? In each case, we subtracted the number of child tickets from 100 to get the number of adult tickets.

How many nickels and how many quarters does Jesse have?

Example $$\Page Index$$ Elane has $7.00 total in dimes and nickels in her coin jar. If we count the number of dimes, we’ll know how many we have—the of one dime. To find the total value of the pile of 23 dimes, multiply 23 by [[ To find the total value of the pile of 23 dimes, multiply 23 by$0.10 to get $2.30. Multiply the number times the value to get the total value of each type of ticket. During her shift at the museum ticket booth, Leah sold 115 tickets for a total of$1,163.

How many nickels and how many pennies does Jesse have? The number of nickels is defined in terms of the number of pennies, so start with pennies. $$\begin 7(0.01) 59(0.05) &\overset 3.02 \nonumber \\ 3.02 &= 3.02\checkmark \nonumber \\ \end$$ Example $$\Page Index$$ Jesse has $6.55 worth of quarters and nickels in his pocket. The number of nickels is three more than eight times the number of pennies. Check the answer in the problem and make sure it makes sense. The number of nickels is five more than two times the number of quarters. || To find the total value of the pile of 23 dimes, multiply 23 by$0.10 to get $2.30.Multiply the number times the value to get the total value of each type of ticket.During her shift at the museum ticket booth, Leah sold 115 tickets for a total of$1,163.How many nickels and how many pennies does Jesse have? The number of nickels is defined in terms of the number of pennies, so start with pennies. $$\begin 7(0.01) 59(0.05) &\overset 3.02 \nonumber \\ 3.02 &= 3.02\checkmark \nonumber \\ \end$$ Example $$\Page Index$$ Jesse has $6.55 worth of quarters and nickels in his pocket.The number of nickels is three more than eight times the number of pennies. Check the answer in the problem and make sure it makes sense. The number of nickels is five more than two times the number of quarters.In mixture problems, we are often mixing two quantities, such as raisins and nuts, to create a mixture, such as trail mix.In our tables we will have a row for each item to be mixed as well as one for the final mixture.So to solve these problems, we will follow the same steps we used to solve coin problems.Example $$\Page Index$$ Danny paid$15.75 for stamps.But this type of problem introduces us to some techniques that will be useful as we move forward in our study of mathematics.If we have a pile of dimes, how would we determine its value?

]].10 to get .30.Multiply the number times the value to get the total value of each type of ticket.During her shift at the museum ticket booth, Leah sold 115 tickets for a total of

To find the total value of the pile of 23 dimes, multiply 23 by $0.10 to get$2.30.

Multiply the number times the value to get the total value of each type of ticket.

During her shift at the museum ticket booth, Leah sold 115 tickets for a total of $1,163. How many nickels and how many pennies does Jesse have? The number of nickels is defined in terms of the number of pennies, so start with pennies. $$\begin 7(0.01) 59(0.05) &\overset 3.02 \nonumber \\ 3.02 &= 3.02\checkmark \nonumber \\ \end$$ Example $$\Page Index$$ Jesse has$6.55 worth of quarters and nickels in his pocket.

The number of nickels is three more than eight times the number of pennies. Check the answer in the problem and make sure it makes sense. The number of nickels is five more than two times the number of quarters.

||

To find the total value of the pile of 23 dimes, multiply 23 by $0.10 to get$2.30.Multiply the number times the value to get the total value of each type of ticket.During her shift at the museum ticket booth, Leah sold 115 tickets for a total of $1,163.How many nickels and how many pennies does Jesse have? The number of nickels is defined in terms of the number of pennies, so start with pennies. $$\begin 7(0.01) 59(0.05) &\overset 3.02 \nonumber \\ 3.02 &= 3.02\checkmark \nonumber \\ \end$$ Example $$\Page Index$$ Jesse has$6.55 worth of quarters and nickels in his pocket.The number of nickels is three more than eight times the number of pennies. Check the answer in the problem and make sure it makes sense. The number of nickels is five more than two times the number of quarters.In mixture problems, we are often mixing two quantities, such as raisins and nuts, to create a mixture, such as trail mix.In our tables we will have a row for each item to be mixed as well as one for the final mixture.So to solve these problems, we will follow the same steps we used to solve coin problems.Example $$\Page Index$$ Danny paid \$15.75 for stamps.But this type of problem introduces us to some techniques that will be useful as we move forward in our study of mathematics.If we have a pile of dimes, how would we determine its value?

,163.How many nickels and how many pennies does Jesse have? The number of nickels is defined in terms of the number of pennies, so start with pennies. $$\begin 7(0.01) 59(0.05) &\overset 3.02 \nonumber \ 3.02 &= 3.02\checkmark \nonumber \ \end$$ Example $$\Page Index$$ Jesse has .55 worth of quarters and nickels in his pocket.The number of nickels is three more than eight times the number of pennies. Check the answer in the problem and make sure it makes sense. The number of nickels is five more than two times the number of quarters.In mixture problems, we are often mixing two quantities, such as raisins and nuts, to create a mixture, such as trail mix.In our tables we will have a row for each item to be mixed as well as one for the final mixture.So to solve these problems, we will follow the same steps we used to solve coin problems.Example $$\Page Index$$ Danny paid .75 for stamps.But this type of problem introduces us to some techniques that will be useful as we move forward in our study of mathematics.If we have a pile of dimes, how would we determine its value?

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