Answers:
A. 1c/2lb
B. 8 cups of dressing
SOLUTION
Given that a catering company’s recipe for Salad uses a
ratio of 2c of dressing to 4 lb of vegetables
A. Write a ratio of dressing to vegetables as a reduced
fraction
A reduced fraction is the expression of a ratio in its simplest
fractional form
Dressing: Vegetable = 2c : 4 lb
In fractional form,
2c/4lb
2 is a common factor to both numerator and denominator
Therefore, in reduced fractional form,
2c/4lb = 1c/2lb
Therefore, ratio of dressing to vegetables as a reduced
fraction is 1c/2lb
B. How many cups of dressing would they need for 16 lb of
vegetables
1c = 2lb
16lb = ?
Since 1c = 2lb
2lb = 1c
1lb = 1/2 c
16lb = 16(1/2)c
16lb = 8c
Therefore, they would need 8 cups of dressing for 16 lb of
vegetables
The problem statement gives a relation between the amount removed from one bag and the amount removed from the other. It asks for the amount remaining in each bag. Thus, there are several choices for variables in this problem, some choices resulting in more complicated equations than others.
Let's do it this way: let x represent the amount remaining in bag 1. Then the amount removed from bag 1 is (100-x). The amount remaining in bag 2 is 2x, so the amount removed from that bag is (100-2x). The problem statement tells us the relationship between amounts removed:
... (100 -x) = 3(100 -2x)
... 100 -x -3(100 -2x) = 0 . . . . . . subtract the right side
... 5x -200 = 0 . . . . . . . . . . . . . . eliminate parentheses and collect terms
... x -40 = 0 . . . . . . . . . . . . . . . . .divide by 5
... x = 40 . . . . . . . . . . . . . . . . . . . add 40
- 40 kg is left in the first bag
- 80 kg is left in the second bag
_____
<u>Check</u>
The amount removed from the first bag is 60 kg. The amount removed from the second is 20 kg. The amount removed from the first bag is 3 times the amount removed from the second bag, as described.
Answer:
I would say that the answer is 4/20
Answer:
x = 
Step-by-step explanation:
Since you cannot subtract -1 from 4x, you multiply 2 × 4x = 8x
Now, you have 8x - 1 + 3 = 7
Seperate the 8x from the other numbers
8x = 1 - 3 + 7 ---> 6
8x = 6
Now simplify
x = 
<----- to reduce, divide the numerator and denominator by 2
Hence,
x =
Perimeter of Rectangle: 2W + 2L
One L is the river so we have 3 sides
420m/3 = 140m
Area of Rectangle is WL
140×140= 19,600 Sq meters
I'm assuming you may have another mathematical system the teacher wants you to use. Yet, I get Area is 19,600 Sq meters
