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vlabodo [156]
3 years ago
12

A catering company’s recipe for Salad uses a ratio of 2 c of dressing to 4 lb of vegetables (a) write a ratio of dressing to veg

etables as a reduced fraction (b) how many cups of dressing would they need for 16 lb of vegetables? Show your work
Mathematics
1 answer:
True [87]3 years ago
8 0

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

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Lucas' mom is eight years older than twice his age. The sum of their ages is 77. How old are Lucas and his mom?
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Answer:

Age of Lucas = 23 years

Age of Lucas Mom = 54 Years

Step-by-step explanation:

In this question we have to find the age of Lucas and his Mom

Let the age of Lucas be x

According to given condition

Twice of his age 2 * x =2x

Eight years older means age + 8x

So

Age of his mom = Twice of his age + 8

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now according to second condition

Age of Lucas + Age of his mom = 77

Put the values in the condition above

x + (2x + 8) = 77

x + 2x + 8 =77

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subtracting 8 from both sides

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Dividing both sides by 3

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Age of Lucas = 23 years

Now from equation (i)

Age of Lucas Mom = 2(x) + 8

putting in the value we get

Age of Lucas Mom = 2 ( 23) + 8

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Change to decimal

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Order from least to greatest

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2 years ago
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