A large stadium contains 21000 seats... How many blocks of seats are there?

[kmcc18]

Hi,

Please could somebody help me out with these questions...

1. In a school, two exams are set.
The mark out of 100 for the Term 1 exam is added to twice the mark out of 100 for the Term 3 exam.
The students must get at least 150 marks to achieve a pass grade.
A student obtains x marks in the Term 1 exam.

a)Write an appropriate inequality to show the mark,y, that the student must obtain in the Term 3 exam in order to pass.
b) Solve this inequality for y when:
i) x=35
ii) x=49


2. A large stadium has 21000 seats
The seats are organised in blocks of either 400 or 450 seats.
There are three times more blocks of 450 seats than blocks of 400 seats.
How many blocks of seats are there? (of each type: 400 and 450)


3. A stallholder sells articles at either £2 or £5 each.
On a particular day, he sold 101 articles and took £331 in revenue.
How many articles were sold at each price?


Many thanks to anyone who can help !

 

[mmm4444bot]

Please show your work (thus far), on these exercises. Where are you stuck? If you cannot begin, what have you thought about?

Also, read the forum guidelines. In addition to showing your efforts, we prefer separate threads for separate exercises.

 

[stapel]

Please could somebody help me out with these questions...

Sure! But we'll need to see what you've tried, so we know where you're getting stuck. For further info, kindly please read the "Read Before Posting" announcement for this forum.

1. In a school, two exams are set. The mark out of 100 for the Term 1 exam is added to twice the mark out of 100 for the Term 3 exam. The students must get at least 150 marks to achieve a pass grade.
A student obtains x marks in the Term 1 exam.

The student already has "x" points (from the first exam). How many points (at the very minimum) then does he need, in order to pass? (Hint: Subtract.) Because the points "y" on the second are doubled before being adding into the overall grade, how many points does the student then need (at the very minimum) on the second exam? (Hint: Divide.)

a) Write an appropriate inequality to show the mark,y, that the student must obtain in the Term 3 exam in order to pass.

The above computations gave the absolute minimum he could get on the second exam. But he can do better; that's allowed! So what inequality then can you create?

b) Solve this inequality for y when:
i) x=35
ii) x=49

Plug the given values into the formula you just created, and solve.

2. A large stadium has 21000 seats. The seats are organised in blocks of either 400 or 450 seats. There are three times more blocks of 450 seats than blocks of 400 seats. How many blocks of seats are there? (of each type: 400 and 450)

The number of big blocks is given in terms of the number of small blocks, so pick a variable for the number of small blocks.

What expression then stands for the number of big blocks? (Hint: Multiply.)

What expressions represent the numbers of seats in these numbers of big and small blocks? (Hint: Multiply.)

Since the total number of seats is fixed, create the equation and solve for the number of small blocks. Back-solve for the number of large blocks.

3. A stallholder sells articles at either £2 or £5 each. On a particular day, he sold 101 articles and took £331 in revenue. How many articles were sold at each price?

If he sold "e" of the expensive articles, then how many of the cheap articles did he sell? (Hint: Subtract.)

Considering the given values for each of the types of article, what expression stands for the revenue? (Hint: Multiply, then add.)

Since the total revenue is fixed, create the equation and solve for the number of expensive articles. Back-solve for the number of small articles.

If you get stuck, please reply showing your work, either on your own or in following the step-by-step instructions above. Thank you!