Since you have 7 liters in all you know that 7 minus 2 is 5.
2*14% + 5*x% = 7*34%
0.28 + 5*x% = 2.38
5*x% = 2.38 - 0.28
5*x% = 2.10
x% = 0.42
x = 42%
Chandra must add 5 liters of 42% solution.
When x, is 0, you just have to plug in 0 for x (and solve for y):
So, your answer
:
y = 1
If each person would get one napkin and one cup then you would need to buy 3 cup packages and 4 napkin packages
4.) When solving a system of equations using elimination method, the first step is to make the coeffitient of one of the variables to be equal.
In option a, the coeffitient of variable y is made equal to 6 by multipling the first equation of the system by two.
Therefore, option A is the right answer.
6.) <span>2x + y = 0 . . . (1)
x – y = 6 . . . (2)
(1) + (2) => 3x = 6 . . . (3)
x = 6/3 = 2.
From (2), 2 - y = 6
y = 2 - 6 = -4.
Therefore, solution is (2, -4)
7.)</span> <span>3x + y = -8 . . . (1)
2x – y = 3 . . . (2)
(1) + (2) => 5x = -5
x = -5 / 5 = -1
From (1), 3(-1) + y = -8
y = -8 + 3 = -5
Therefore, solution is (-1. -5)
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First, lets gather the information given in the problem :
Mr. G's total students = 57
Mr. G's band students = 25
Clue 1 : Since there are 25 students that take band, that means that there are 57-25 = 32 students who do not take band = 32 students who take choir or math or both.
Mr. G's band / choir / band and choir students = 48
Clue 2 : Since there are 25 students that take band and there are 48 that take either band / choir/ or both, that means we have 48-25 = 23 students who do not take band = 23 students who must take choir but not band. Thus
Mr. G's choir students = 23
So, we have the following :
Mr. G's total students = 57
Mr. G's band students = 25
Mr. G's choir students = 23
However, 25 + 23 = 48. Thus, we have 9 students not accounted for. These must be his math students. Hence,
Mr. G's total students = 57
Mr. G's band students = 25
Mr. G's choir students = 23
Mr. G's math students = 9
Next, they tell us that 9 students take both math and choir.
Without the vin diagrams, this is all I can provide.