At a candy store, Erika bought 3 kilograms of cinnamon red hors and 1 kilogram of gummy bears for $21.00. Meanwhile, trene bough

Question

3 years ago

10

At a candy store, Erika bought 3 kilograms of cinnamon red hors and 1 kilogram of gummy bears for $21.00. Meanwhile, trene bough

t 3
kilograms of cinnamon red hots and 3 kilograms of gummy bears for $39.00. What is the cost of one kilogram of each type of candy
Red hots
Gummy bears

Mathematics

1 answer:

prisoha [69] · Answer 1 · 2022-05-22T07:30:07+03:00

The cost of one kilogram of cinnamon red hots is $4.00 and cost of one kilogram of gummy bears is $9.00

Step-by-step explanation:

Let,

Cost of one kilogram of cinnamon red hots = x

Cost of one kilogram of gummy bears = y

According to given statement;

3x+y=21 Eqn 1

3x+3y=39 Eqn 2

Subtracting Eqn 1 from Eqn 2

$(3x+3y)-(3x+y)=39-21\\3x+3y-3x-y=18\\2y=18$

Dividing both sides by 2

$\frac{2y}{2}=\frac{18}{2}\\y=9$

Putting y=9 in Eqn 1

$3x+9=21\\3x=21-9\\3x=12$

Dividing both sides by 3

$\frac{3x}{3}=\frac{12}{3}\\x=4$

The cost of one kilogram of cinnamon red hots is $4.00 and cost of one kilogram of gummy bears is $9.00

Keywords: linear equation, elimination method

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