Group MCA6 home work for MS29; due on 04-15-2015
B1
Jar-A contains 12 coins; and jar-B has 36 coins. How many coins one has to move
from jar B to jar A, so that both jars have the same number of coins?
B2
Change the previous conditions so that jar-A contains 120 coins and jar-B has
360 coins. How many coins one has to move from jar B to jar A, so that both jars
have the same number of coins?
B3
Jack has 222 dollars. Karin has 346 dollars. Karin gave some of her money to
Jack. Now they have the same amount. How much money Karin gave to Jack?
G1*
Let’s say that M is greater than N. Both N and M are counting numbers.
Jar-A contains 2*N coins and jar-B has 2*M coins. How many coins one has to
move from jar B to jar A, so that both jars have the same number of coins?
W1
A man spent exactly $2.50 on 3 cents, 6 cents and 10 cents stamps. He
bought ten 3-cents stamps, and twice as many 6-cents stamps. How many
10-cents stamps did he buy?
W2* Old McDonald has pigs, cows and chickens in his farm. We know
that the number of cows is one plus number of pigs. We also
know that there are three times more chickens than cows. Total
number of animals in the farm is between 201 and 210. How
many chickens are three?
W3
A car traveling at 60 miles per hour for two hours travels the same distance as a
car traveling at 40 miles per hour for x hours. What is x?
W4.
A car travels at 60 miles per hour from A to B. Then it comes back from B to A
with the speed 20 miles per hour. What is the average speed of the overall round
trip?
W5
If Mark can seal 50 envelopes in 5 minutes, and Paul can do
the same job in 8 minutes, how many minutes (to the nearest
min.) will it take the two of them, working together, to seal
400 envelopes?
G2*
If 12 is the average of 5 different natural numbers, then what is the greatest that any
one of the numbers could be?
Solve Equations
E1
(x + 3) / (2*x – 3) = 1
E2
(x + 3) / (2*x – 3) = 2
E3
(x + 3) / (2*x + 1) = 3
E4
6*x - 22 =
E5
8*x + 25 = 50 + 2*x
49 + x
E6
11*x + 22 = 72 + 3*x
E7
15*x + 22 =
E8
12 / (x + 2) = 36 / (2 – x)
E9
4 ½ + 2*x = 40 ½ - 10*x
E10
3 ¼ + 24*x = 39 ¼ - 12*x
A1
72 + 4*x
Average of X and Y is 56. The average of Y and Z is 66. Average of X and Z is 86.
what is the average of X, Y and Z?