During a one-month promotional campaign, Fran's Flix gave either a free DVD rental or a 12-serving box of microwave popcorn t
1 answer:
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Answer:
- a = $8
- s = $5
Step-by-step explanation:
When the coefficients don't lend themselves to solution by substitution or elimination, then Cramer's Rule can be useful. It tells you the solutions to
- ax +by = c
- dx +ey = f
are ...
- ∆ = bd -ea
- x = (bf -ec)/∆
- y = (cd -fa)/∆
Using that rule here, we find ...
∆ = 5·3 -6·2 = 3
a = (5·54 -6·41)/3 = 5·18 -2·41 = 90 -82 = 8
s = (41·3 -54·2)/3 = 41 -18·2 = 5
This math can be performed in your head, which is the intent of formulating the rule in this way.
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Similarly, if you expect the solutions to be small integers (as here), then graphing is another viable solution method.
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<em>Comment on the question</em>
We're sad to see than only 16 tickets were sold to the two performances by the symphonic band.
Answer:
The number of hot beverages sold were 45 and the number of cold beverages sold were 180.
Step-by-step explanation:
Let the number of cold beverages sold be
And the number of hot beverages sold be
According to the question:
c=4 h...
1.5
c + 2
h = Sale of any day
Part1:
For Saturday.
The sale is of 360
then
1.5
c +
2
h =
360
Part 2:
Following the method of substitution.
And plugging the values of c=4 h...in equation where the sales of Saturday is given.
1.5 c + 2
h =360
1.5 4
h + 2
h =360
6 h + 2
h= 360
8 h=360
Dividing both sides with 8.
h=
h=45
Inserting h=45 in c=4 h...
we have c=4 45 = 180
So the number of hot beverages sold were 45 and the number of cold beverages sold were 180.