The ratio of the number of postcards john had to the number of postcards Zachary ha d was 4:9. Zachary had 45 more postcards than John. After giving some postcards to John, Zachary had 6/7 as many postcards as John.
(A) How many postcards did Zachary have in the beginning?
(B) How many postcards did Zachary give to John?
Is there a way to figure this out without using formulas?
A. John has X cards.
Zack has (X+45) cards.
X/(X+45) = 4/9,
4x+180 = 9x,
4x-9x = -180,
-5x = -180,
X = 36cards.
X+45 = 36+45 = 81 cards.
B. Zack has (81-X) cards.
John has (36+X) cards.
81-X = 6/7(36+X),
Multiply both sides by 7:
567-7X = 6(36+X),
567-7X = 216+6X,
-7X-6X = 216-567,
-13X = -351,
X = 27 cards given to John.
Answer this Question
For another picnic, you want to make hamburgers with pickles, again without having any left over. You need to balance the number of packages of buns (which usually contain 8 buns) with the number of packages of hamburger patties (which usually contain 12
- asked by Becca
1 Out Of 100 Math Trick HELP PLEASE!!!
1. Choose a number between 1 and 100. 2. Multiply the number by 5. 3. Add 15 to the number. 4. Divide the number by 5. 5. Subtract the original number. How does this work, please help!
- asked by Em8
Jason went to the post office and bought both 41-cent stamps and 26-cent postcards and spent $10.28. The number of stamps was 4 more than twice the number of postcards. How many of each did he buy?
- asked by hilmar
the ratio of ten more than three times a number to the square of the same number is equal to one. what is the number?
- asked by Michael
write each expression using n as your variable.then simplify fully. 1.five more than the sum of a number and ten. 2.the product of eight and seven less than a number. 3.the quotient of a number and three, increased by one. 4.ten less than the product of
- asked by bre
When you are translating a number from scientific notation to standard form, what does the exponent tell you? The number of zeros to add to the end of the original number the number of places to move the decimal point to the left the number of places to
- asked by SwimmerGirl
Shelly compared the number of oak trees to the number of maple trees as part of a study about hardwood trees in a woodlot. She counted 9 maple trees to every 5 oak trees. Later in the year there was a bug problem and many trees died. New trees were planted
- asked by Katherine
5. How would you change this sentence to a true statement? b. Every irrational number is a rational number. c. Every irrational number is a real number. •• d. Every irrational number is a whole number. e. Every irrational number is a perfect square.
- asked by Lucky
Check answers? 1) Why did J.J. Thomson reason that electrons must be a part of the atoms of all elements? A) Cathode rays are negatively charged particles**** B) Cathode rays can be deflected by magnets C) An electron is 2000 times lighter than a hydrogen
- asked by Mary
write a word phrase for p divided by 3 A. a number plus 3 B. a product of a number and 3 C. a quotient of a number and 3 D. a number decreased by 3
- asked by PPPLLLEEAASSEE HHEELLPP!!!!!!
Are the following true or false? 1. The difference of two natural numbers is always a natural number. 2. The sum of two natural numbers is always a natural number. 3. The quotient of two natural numbers is always a natural number. 4. The difference of two
- asked by Bill
After-School Activities Activity Number of Students Spanish Club 19 Basketball 24 Drama 15 Homework Help 17 Soccer 20 Which ratio compares the number of students in the Spanish club to the total number of students? a. 19:95 b. 20:95 c. 95:24 d. 95:19
- asked by Evon
On a farm the number of chickens to the number of cows was in the ratio 5:3. The ratio became 3:2 after 300 chickens were sold. How many more chickens than cows were there at first?
- asked by Bhavika Bhatt
How do I put these into equations? Five times the difference of a number and two is seven more than that number. Twice a number decreased by two is equivalent to than number increased by five. I am so lost
- asked by Anesha
The feeling that things weren't as good as they seemed is best described by which line from "Borders"? A."I told Stella that we were Blackfoot and Canadian, but she said that didn't count because I was a minor." B."We got postcards from Laetitia regularly,
- asked by Your Friend
What is my number? clue 1. my number is a multiple of 2 and 7 clue 2. My number is less than 100 but larger than 50. clue 3. My number is the product of three primes, which are all different. Can some one tell me how to work this problem? Well, let's look
- asked by arochimero
Which word phrase can you use to represent the algebraic expression 6y? 6 less than a number y the sum of 6 and a number y the product of 6 and a number y** the quotient of 6 and a number y
- asked by Person
1.Which of the following numbers is an example of an integer? A -15** B 3/5 C √7 D 0.252525... 2.Which statement is false? A every integer is a real number. B the number zero is a rational number.** C every irrational number is a real number. D every
- asked by Cammie
Write a word phrase for 5p. (1 point) A) the product of a number and 5 B) the quotient of a number and 5 *** C) a number plus 5 D) a number decreased by 5 Someone please check my answer!!!
- asked by hi :O
Neon signs require about 12000V for their operation. The primary operates from 120-V lines. a)What is the ratio of the number of loops in the secondary to the number of loops in the primary? b) What is the ratio of the power delivered to the secondary coil
- asked by sam