What is the distributive property 39x5
1 answer:
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Answer:
1 hot dog costs $0.75
1 bratwurst costs $1.35
Step-by-step explanation:
Let x and y be the price per dozen of hot dogs and bratwursts respectively.
The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $282.60
8x + 13y = 282.60
The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $333.00
10x + 15y = 333
and we have the linear system
<em>8x + 13y = 282.60 </em>
<em>10x + 15y = 333 </em>
which can be written in matrix form as
The solution would be given by
We have
hence
Now,
if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75
if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35
Number of children attended is 1200 and number of adults attended is 1500
<h3><u>Solution:</u></h3>Given that,
Admission fee for each children = $ 1.50
Admission fee for each adult = $ 4.00
Let "c" be the number of children attended
Let "a" be the number of adults attended
Given that 2700 people enter and $7800 is collected
Number of children attended + number of adults attended = 2700
c + a = 2700 -------- eqn 1
Also given that $7800 is collected
Number of children attended x Admission fee for each children + number of adults attended x Admission fee for each adult = 7800
1.5c + 4a = 7800 -------- eqn 2
Let us solve eqn 1 and eqn 2 to find values of "a" and "c"
From eqn1,
a = 2700 - c ----- eqn 3
Substitute eqn 3 in eqn 2
1.5c + 4(2700 - c) = 7800
1.5c + 10800 - 4c = 7800
-2.5c = -3000
c = 1200
Therefore from eqn 3,
a = 2700 - 1200
a = 1500
Therefore number of children attended = c = 1200
number of adults attended = a = 1500