leeleelynn
13.10.2020 •
Mathematics
What is the slope of the line 3y = 5x + 7
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Ответ:
When solving for slope, you must make sure that y does not have a coefficient
Ответ:
15 single-crust apple pies were sold and 21 double-crust cherry pies were sold.
Step-by-step explanation:
Let a be the number of single-crust apple pies sold
Let c be the number of double-crust cherry pies sold
First, we need to write the two equations that are going on here:
We don't know the number of each pies sold, but we know 36 were sold, so we write this:
a
+
c
=
36
We also know that the price of a single-crust apple pie is $6.99 and the price of a double-crust cherry pie is $10.99. We know the money collected was $331.64, so our second equation is this:
6.99
a
+
10.99
c
=
331.64
So our two equations are:
a
+
c
=
36
and
6.99
a
+
10.88
c
=
331.64
For the first equation, let's solve for a for now.
#a = 36 - c
Now, we can plug this value of a into the other equation
6.99
a
+
10.88
c
=
331.64
, so we have this:
6.99
(
36
−
c
)
+
10.88
c
=
331.64
(plug in value for a)
And now we continue solving:
251.64
−
6.99
c
+
10.88
c
=
331.64
(distribute)
251.64
+
3.89
c
=
331.64
3.89
c
=
80
(put variables on left of equation, put numbers on right of equation)
c
=
20.565552
...
≈
21
(rounded up to 21 because you can't sell a
1
56
th's pieces of a pie.
Now we plug this value of c that we just solved back into the equation
a
=
36
−
c
in order to find a. Now we solve for a:
a
=
36
−
21
(plug in the value of c)
a
=
15
So, now we know how many pieces of each were sold.
Final 15 single-crust apple pies were sold and 21 double-crust cherry pies were sold.