Grossmont College Algebra Functions and Matrix Practice

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?

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?
12:44 & 3
2
6
-4
8
Consider the augmented matrix 1
-1
5
Perform the following row-equivalent operations and
0
1
9
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
-1
0
5
9
1
1
-4
12.
· R1
2
-4
8
2 6
1 – 1
0
5
→
9
1
13.
(-9. R2+R3) → R3
[26
-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?
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