There are 7 black cards and 13 red cards. The probability of selecting a red card will be
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The equation that represents this situation while the variable s representing the amount of dough needed , for a small pizza is (5/2)S = (3/2)S + S .
In the question ,
it is given that
amount of dough for a medium pizza is 3/2 times the amount of dough for small pizza ,
let the amount of dough required for small pizza = S
let the amount of dough required for large pizza = L
let the amount of dough required for medium pizza = M
So , M (3/2)S
and amount of dough for a large pizza is 5/2 times the amount of dough for small pizza ,
that is
L (5/2)S
amount of dough used for one large pizza is equal to the amount of dough used for one medium and one small pizza ,
that is L M
S .
Substituting the value of L and S , we get
(5/2)S (3/2)S + S
We have a linear equation that is true for all S , there is no unique solution to this equation .
Therefore , The equation that represents this situation is (5/2)S = (3/2)S + S .
The given question is incomplete , the complete question is
Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.
Write an equation to represent this situation while the variable s representing the amount of dough needed , for a small pizza .
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System of inequalities representing given scenario is as follows
x + y ≤40
5x + 4y ≥ 120
<h3><u>Solution:</u></h3>Given that Sara sells homemade blueberry jelly (b) and strawberry jam (s) at the farmer's market. She has enough berries for no more than 40 jars.
The blueberry jelly sells for $5 per jar,
And the strawberry jam sells for $4 per jar.
Sara's goal is to make at least $120
Need to write system of inequalities for above scenario.
Let’s assume number of jars of blueberry jelly be represented by variable “x”
And assume number of jars of strawberry jam be represented by variable “y”
<em><u>Let’s create first inequality </u></em>
As it is given that Sara has enough berries for no more than 40 jars, so total number of jars cannot be more than 40.
=> Number jars of blueberry jelly + number of jars of strawberry jam ≤40
=> x + y ≤ 40 ------(1)
<em><u>Now let’s create second inequality </u></em>
Selling Price of 1 blueberry jelly = $5
So Selling Price of "x" blueberry jelly
Selling Price of 1 strawberry jam = $4
So Selling Price of "y" strawberry jam =
So amount generated by selling x blueberry jelly and y strawberry jam = 5x + 4y
And as Sara’s goal is to generate at least $120, so amount generated by selling “x” blueberry jelly and “y” strawberry jam must be greater than $120
=> 5x + 4y ≥ 120 ------ (2)
Hence system of inequalities representing given scenario is as follows :
x + y ≤40
5x + 4y ≥ 120