Use a system of linear equations in three variables to solve the following problem. At a college production of a play, 420 tickets were sold. The ticket prices were $8, $10, and $12, and the total income from ticket sales was $3940. How many tickets of each type were sold if the combined number of $8 and $10 tickets sold was 5 times the number of $12 tickets sold? Write a system of linear equations using the given information. Choose correct answer below. x+y+z= 420 x+y+z = 420 OA. 8x + 10y + 12z= 3940 OB. 8x + 10y + 12z= 3940 x+ y+5z = 0 x+y-5z = 0 x+ y+z = 3940 x + y+z= 3940 OC. 8x + 10y + 12z= 420 OD. 8x + 10y + 12z = 420 x+ y+5z = 0 x+y-5z = 0 There were tickets of $8, tickets of $10, and tickets of $12 sold.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
