DRHS How Many Liters of The and Solution Will Be Used in Antifreeze Solution Ques

A 90% antifreeze solution is to be mixed with a 75% solution to make 120L of a 78% solution. How many liters of the 90% and 75% solution will be used?

15. A 90% antifreeze solution is to be mixed with a 75% solution to make 120L of a 78% solution. How
many liters of the 90% and 75% solution will be used?
16. Panera’s recently sold small lemonades for $1.55, medium lemonades for $1.79, and large lemonades
for $2.09. During a lunch-time rush, Corey sold 40 lemonades for a total of $70.70. The number of
small drinks and large drinks, combined, was 10 fewer than the number of medium drinks. How many
drinks of each size were sold?
2 6 -4 8
Consider the augmented matrix 1 -1 0 5 Perform the following row-equivalent operations and
9 1 1 -4
write the resulting matrix. Start with the original matrix for each problem.
11.
R1 + R2 (switch R1 and R2)
2
6
-4
8
-1
0
5
1
9
1
1
-4
1
12.
R1
2
2
6
-4
8
1 -1
0
5
→
9
1
1
-4
13.
(-9. R2+R3) → R3
+
2
6
-4
8
1
-1
0
5
9
1
1
-4
Solve the following application problems:
14. Tickets at a concert were sold to adults for $3.00 and students for $2.00. If the total receipts were $80
and 35 tickets were sold, how many adults and how many student tickets were sold?