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omeli [17]
2 years ago
8

Damien needs to order more pill containers for the pharmacy. Currently, there are 156 8-dram bottles, 78 20-dram bottles, and 13

2 30-dram bottles. All the bottles come in cases of 140 bottles. The pharmacist wants all stocks to be replenished so that there are at least 400 of each bottle type. How many cases of each bottle type does Damien need to order
Mathematics
1 answer:
skad [1K]2 years ago
5 0

Answer:

for 8 gram bottle =  2 cases

for 20 gram bottle = 3 cases

for 30 gram bottles = 2 cases

Step-by-step explanation:

<u>Determine how many cases of each bottle type Damien needs to order</u>

<u>i) For 8-gram bottles </u>

available bottles = 156

required amount ≥ 400

extra bottles to be ordered = 400 - 156 = 244 bottles

since case contains 140 bottles , the number of cases to be ordered

= 244 / 140 = 1.74 cases ≈ 2 cases

<u>ii) for 20 gram bottles </u>

available bottles = 78

required amount  ≥ 400

Extra bottles to be ordered = 400 - 78 = 322 bottles

therefore the number of cases = 322 / 140 = 2.3 cases ≈ 3 cases

<u>iii) For 30 gram bottles</u>

available bottles = 132

required amount  ≥ 400

Extra bottles to be ordered = 400 - 132 = 268

therefore the number of cases = 268 / 140 = 1.9 ≈ 2 cases

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There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Step-by-step explanation:

Given,

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Calories in each mini pizza = 50 calories

Combined meal = 20

Combined calories = 1450 calories

Let,

x represent the number of hot dogs.

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According to given statement;

x+y=20     Eqn 1

80x+50y=1450    Eqn 2

Multiplying Eqn 1 by 80

80(x+y=20)\\80x+80y=1600\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(80x+80y)-(80x+50y)=1600-1450\\80x+80y-80x-50y=150\\30y=150

Dividing both sides by 30

\frac{30y}{30}=\frac{150}{30}\\y=5

Putting y=5 in Eqn 1

x+5=20\\x=20-5\\x=15

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Keywords: linear equation, elimination method

Learn more about elimination method at:

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#LearnwithBrainly

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3/4 of a piece of metal has a mass of 15kg.what is the mass of 2/5 of the piece of metal
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2 years ago
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Answer:

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