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2 answers:
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Let C represent number of CDs and D represent number of DVDs.
We have been that The Blast Off Music Company can make a total of 500 CDs and DVDs each day. We can represent this information in an equation as:
We are also told that it costs $8 to make each CD, so cost of C, CDs would be .
It costs $10 to make each DVD, so cost of D, DVDs would be .
We have been given that the company can spend $4800 for production costs each day. This means that cost of C CDs and D DVDs will be equal to 4800. We can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, the company can make 400 DVDs in one day.
Upon substituting in equation (1), we will get:
Therefore, the company can make 100 CDs in one day.
Answer:
See explanation
Step-by-step explanation:
There are 26 students at the class.
During a mathematics test, one student made 12 mistakes but everyone else in the class made fewer mistakes than he did. So, all other students made 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 or 0 mistakes (12 different possibilites).
Suppose that at most 2 students in the class made the same number of mistakes. Hence, at most students satisfy this condition. If we add that student who made 12 mistakes, the maximum total number of students in the class could be
students.
But the total number of students is 26, so our hypothesis is incorrect, thus there are at least 3 students in the class who made the same number of mistakes.
