Answer: 24 band posters should be sold
Step-by-step explanation:
First take the expression down to its simplest form;
= 5:4
Assume she sells 30 movie posters, her movies posters drop to;
= 100 - 30
= 70 movie posters
We need a number of band posters remaining that will give a ratio of 5:4 with movie posters.
In fraction form, the number of movie posters is;
= 5/9 because 9 would be the total number of both movie posters and band posters.
Create an expression to find the total number of posters if 70 are movie posters;
5/9x = 70
x = 70 ÷ 5/9
x = 126 posters
Number of band posters that should be left are;
= 126 - 70
= 56
Number of band posters that should be sold;
= 80 - 56
= 24 posters
<em>The new ratio would be 70:56.</em>
PERPENDICULAR LINES have the same y-intercept
The price of the burritos and tacos, using the system of linear equations, is equal to $32 and $26, respectively.
It is given that for a recent company party, Carmen spent $58 on one plate of burritos and one plate of tacos. For a company meeting, she spent $90 on two plates of burritos and one plate of tacos. We need to find the cost of each dish.
Let the costs of burritos and tacos be represented by the variables "x" and "y", respectively. We can write two equations, as given below.
x + y = 58
2x + y = 90
We will substitute the value of "y" from the first equation into the second equation.
y = 58 - x
2x + y = 90
2x + 58 - x = 90
x = 90 - 58
x = 32
Hence, the price of the burritos is $32. Now, we will substitute this value into the first equation.
y = 58 - x
y = 58 - 32
y = 26
Hence, the price of the tacos is $26.
The complete question is given below.
Carmen often orders fiesta trays from her favorite Mexican restaurant for company events. For a recent company party, she spent $58 on 1 plate of burritos and 1 plate of tacos. For a company meeting, she spent $90 on 2 plates of burritos and 1 plate of tacos. How much does each type of dish cost?
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walking around on the street tomorrow, I won't even recognize it. Although I do
crave to solve the problem and answer your question, I have nothing to get to
Square-1 with. I'm sitting here at Square-0 , looking for information to use in
my calculations.
