Answer:
The expression is C/20 cups of flour in one cake
Step-by-step explanation:
* Lets explain how to solve the problem
- There are 10 students
- Each one made 2 chocolate cakes
- They all used the same recipe
- The total amount of flour is C cups
* Lets change these information to equation
∵ There are 10 students
∵ Each student made 2 cakes
∴ The total number of cakes = 10 × 2 = 20 cakes
∵ The total amount of flour for the twenty cakes is C cups
- To find the amount of flour in each cake divide the total amount
of flour by the total number of the cakes
∴ The amount of flour in each cake = C/20
* The expression is C/20 cups of flour in one cake
Step-by-step explanation:
Let
x
be the kg of coffee of brand A in the mix and
y
be the kg of coffee of brand B in the mix.
The total kg must be
50
.
x
+
y
=
50
The cost per kg of the mix must br
$
7.20
. For this, the total cost of the mix will be
6
x
+
8
y
, so the total cost per kg of the mix will be
6
x
+
8
y
50
.
6
x
+
8
y
50
=
7.20
Now that we have our two equations, we can solve.
6
x
+
8
y
=
7.20
⋅
50
6
x
+
8
y
=
360
From the first equation, we can multiply both sides by
6
to get:
6
x
+
6
y
=
300
Subtracting, we get:
2
y
=
60
y
=
30
Thus, we need
30
kg of brand B in our mix. This means that
50
−
30
=
20
kg will be of brand A.
In order to make this easier, let us convert the fraction into a mixed number. 2 2/3 would become 8/3. Now, let us divide 8 pints by 8/3 cups and we get 24/8 or 3 cups. Therefore, the amount of water that Cary has to use when she makes barbecue sauce with 1 pint of tomato is 3 cups.
What ever number A is, it is going to be less than whatever number B is.
