Question

At the candy store, Bianca bought 1 kilogram of gummy bears and 2 kilograms of jelly beans for $38.00. James bought 2 kilograms of gummy bears and 3 kilograms of jelly beans for $62.75. What is the cost of 1 kilogram of jelly beans?

Answer 1

Step-by-step explanation:

1 kg jelly beans = $ 13.25

1 kg gummy bears = $ 11.5

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Answer 2

$\bold\red{\tt{Answer:}}$

$\bold{\tt{Question: To \ find \ cost \ of \ 1kg \ of \ jelly \ beans}}$

$\bold\orange{\tt{Let \ the \ cost \ of \ 1kg \ of \ gummy \ bears \ be \ X \ and \ let \ the \ cost \ of \ 1kg \ of \ jelly \ beans \ be \ Y}}$

$\bold\purple{\tt{Case \ I}}$

In case 1 he buys 1 kg of gummy bears and 2 kg of jelly beans .

So By the given condition :-

$\bold{\tt{x+2y=38-----(1)}}$••••This will serve as equation (1) .

$\bold\purple{\tt{Case \ II}}$

In case 2 he buys 2 kg of gummy bears and 3kg of jelly beans .

So by given condition :-

$\bold{\tt{2x+3y=62.75----(2)}}$•••••This will serve as equation (2) .

$\bold\green{\tt{Now \ the \ question \ reduces \ to \ solving \ simultaneous \ equation}}$

Solving equation (1) and (2)

From equation (1)

x=38-2y .

$\bold\red{\tt{Substitute \ this \ value \ in \ equation \ 2}}$

we obtain,

2(38-2y)+3y=62.75

76-4y+3y=62.75

y=76-62.75=13.25 .

$\bold{\tt{ we \ have \ assumed \ y \ to \ be \ cost \ of \ 1kg \ of \ jelly \ beans}}$

So cost of 1 kg of jelly bean is $13.25 .

$\bold\red{\tt{Answer: 13.25 \ is \ the \ cost \ of \ 1kg \ of \ jelly \ bean}}$

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$<marquee>hope it helps you</marquee>$

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