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

$13.25 .

Explanation:

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

So By the given condition :-

••••This will serve as equation (1) .

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

So by given condition :-

•••••This will serve as equation (2) .

Solving equation (1) and (2)

From equation (1)

x=38-2y .

we obtain,

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

76-4y+3y=62.75

y=76-62.75=13.25 .

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