Algebra Answers

The local community college theater put on a production of chicago. There were 186 tickets sold, some for $16 ( non students price ) and others for $12 (students price ) . If the receipts for one performance totaled $2640, How much of each type of ticket were sold?

The local community college theater put on a production of chicago. There were tickets sold, some for $16(non student price) and others for $12(student price). If the receipts for one performance totaled $2640, How much of each type of ticket were sold?

A college student sent a postcard to her parents with the message SEND + MORE = MONEY if each letter represents a digit (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9), with different letters representing different digits and the same letter representing the same digits each time it occurs, how much money is being requested?

A man died and left the following instructions for his fortune. Half to his wife, one-seventh of what was left to his son, two-thirds of what was left went to his butler, the man’s pet got the remaining 100,000 pesos. How much money did the man leave behind altogether?

2. Observe that 49 = 4

×

9 + 4 + 9.

(a) Find all other two-digit numbers which are equal to the product of their digits plus the sum of their

digits.

(b) Are there three-digit numbers which are equal to the product of their digits plus the sum of their digits?

Prove your answer.

if two numbers are said to be the factor of a number then any of the two number is a multiple of that number

Question 6 a) As a promotional offer, a new gym is offering a 30% discount to those who sign up in the first month. Patty and her 2 siblings take advantage of the offer and sign up for total amount of £210. What were the total savings made? Show your working.

b) Work out the average savings per person.

Question 7 Work out the following: a) 3/4 - 7/9 + 2/3 (4 marks) b) Which is the largest of the following numbers? 0.1, 0.02, 0.003, 0.0004, 0.00005

Question 8 90 men and 60 women were asked if they had watched the latest ‘Expendables’ movie. Altogether 3/5 of the people said Yes. 3/10 of the women said Yes. What percentage of the men said No? (Show your working)

working. 

Question 1 Explain the terms (a) numerator, (b) denominator.

Question 2 Express 24/40 and 18/42 in their simplest forms.

Question 3 a) Express the fractions 2/3, 3/4 and 5/6 as equivalent fractions with a denominator of 12.

b) A library contains 60,000 books. 14,000 are on the subject of business, 22,000 are on healthcare and 12,000 on psychology and law. What percentage of the library’s books is on computing, if computing books make up two-thirds of the remainder?

Question 4 A sports shop in Manchester is doing a sale on some merchandise. Liz hears about it and goes to make a purchase of two pairs of running shoes. She gives the sales attendant in the store three crisp £50 notes and is given change of £10.50. What is the price of each pair of running shoes? Show your working.

Question 5 a) What is 240.50 x 19.54? Give your answer to 2 significant figures.

b) Write the number 52100 as a power of 10. 

1/4 x² - 1/4 xy + 1/16 y² Factor it