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GaryK [48]
2 years ago
10

A greedy hamster hoarded 2 piles of sunflower seeds. Yesterday the ratio of the seeds in these piles 3:4; but today the greedy h

amster placed another 2 pounds of seeds in the bigger pile. He also ate 1/4 pound from the smaller pile and now the quantities of seeds in those piles is in the ratio of 5:16. What was the weight of each pile yesterday
Mathematics
1 answer:
Airida [17]2 years ago
3 0

The weight of each pile yesterday will be 6 and 8 pounds.

<h3>What is the unitary method?</h3>

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is Given that Yesterday the ratio of seeds in these piles was 3:4.

Let 3x and 4x represent the seeds.

If the 2 pounds of seeds are added in the bigger pile, then

4x + 2

He also ate 1/4 pound from the smaller pile,

3x - 1/4

The quantities of seeds in those piles is in the ratio of 5:16.

So, 4x + 2 = 5x

3x - 1/4 = 16x

Solve;

So, 4x + 2 = 5x

2 = 5x - 4x

x = 2

The weight of each pie will be

3x = 6 pound

4x = 8 pound

Hence, The weight of each pile yesterday would be 6 and 8 pounds.

Learn more about the unitary method;

brainly.com/question/23423168

#SPJ1

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The cost for hiring a car for 2 days in 2018 was Rs. 264 which was 20% more than in 2013. What was the cost of hiring a car for
Goshia [24]

The cost of hiring a car for 2 days in 2013 is Rs. 316.8

<h3>How to find the cost of hiring in 2013 ?</h3>

The cost for hiring a car for 2 days in 2018 was Rs. 264 which was 20% more than in 2013.

Therefore,

cost of hiring for 2018 = Rs. 264

Therefore,

let

cost of hiring in 2013 = 20%(264) + 264

cost of hiring in 2013 = 20 / 100 × 264 + 264

cost of hiring in 2013 = 1 / 5 × 264 + 264

cost of hiring in 2013 = 264 / 5 + 264

cost of hiring in 2013 = 52.8 + 264

cost of hiring in 2013 = 316.8

Therefore, the cost of hiring a car for 2 days in 2013 is Rs. 316.8.

learn more on cost here: brainly.com/question/1663590

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7 0
2 years ago
Two grapefruits and three oranges cost $1.95. Three grapefruits and two oranges cost $2.05.
geniusboy [140]

Answer:

  • one orange costs $0.35  and  one grapefruit costs $0.45

Step-by-step explanation:

<em>let grapefruits be g , let oranges be o</em>

so first equation:

→2g + 3o  = $1.95

→g = ($1.95 - 3o)/2

so second equation:

→ 3g + 2o = $2.05

→ g = ($2.05 - 2o)/3

Solving simultaneously:

→ ($2.05 - 2o)/3 = ($1.95 - 3o)/2

→ 2($2.05 - 2o) = 3($1.95 - 3o)

→ 4.1 - 4o = 5.85 - 9o

→ - 4o + 9o = 5.85 - 4.1

→ 5o = 1.75

→ o = $0.35

Therefore one orange costs $0.35

Then one grapefruit costs g → ($1.95 - 3o)/2

                                               → g = ($1.95 - 3(0.35))/2

                                               → g = 0.45

Therefore one grapefruit costs $0.45

4 0
2 years ago
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AnnyKZ [126]

Answer:

B) 25

Step-by-step explanation:

First, you add up all the numbers. Then, you divide it by 9 which is the total amount of numbers there are.

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Vedmedyk [2.9K]

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