Algebra 1 LS - 4/22/20 Practice

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Using this system of equations, what is the cost of senior citizen tickets and child tickets.

 $3s\ +\ 1c\ =\ 38$ 
  $3s\ +2c\ =\ 52$  

• Senior Citizen: $8 and Child: $14

• Senior Citizen: $14 and Child: $8

Tags

CCSS.8.EE.C.8C

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Using the system of equations, find the cost of the doughnuts and the coffee.

 $10c\ +\ 5d\ =\ 16.50$  

 $5c\ +\ 10d\ =\ 14.25$  

• Coffee: $0.80 and Doughnuts: $1.25

• Coffee: $1.25 and Doughnuts: $0.80

Tags

CCSS.8.EE.C.8C

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Let x represent twenty dollar bills and y represent fifty dollar bills.
 $x\ +\ y\ =\ 49$  

 $20x\ +\ 50y\ =\ 1430$  

• There are 34 twenty dollar bills and 15 fifty dollar bills. 

• There are 15 twenty dollar bills and 34 fifty dollar bills. 

Tags

CCSS.8.EE.C.8C

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. Using the system of equations below find the price of the pack of cookies. Let s = sugar cookies and let c = oatmeal cookies.

 $10s\ +\ 2c\ =\ 56$  

 $9s\ +\ 3c\ =\ 60$  

• Sugar Cookies $5 

  Oatmeal Cookies $3

• Sugar Cookies $4

  Oatmeal Cookies $8

Tags

CCSS.8.EE.C.8C

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60.  How many nickels and dimes did Dennis earn?  Let d = dimes and n = nickels. 

 $d\ +\ n\ =\ 80$  

 $.10d\ +\ .05n\ =\ 6.60$  

• 28 nickels, 52 dimes

• 52 nickels, 28 dimes

Tags

CCSS.8.EE.C.8C