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Sagot :
The cost of each pound of almonds is $3.5 and the cost of each pound of jelly beans is $2.5
System of linear equations; Calculating the cost of almonds and jelly beans
From the question, we are to determine the cost for each pound of almonds and each pound of jelly beans
Let the cost of each pound of almonds be $x
and the cost of each pound of jelly beans be $y
From the given information,
" For 12 pounds of almonds and 2 pounds of jelly beans, the total cost is $47"
Then, we can write that
12x + 2y = 47 ----------- (1)
and
"For 3 pounds of almonds and 5 pounds of jelly beans, the total cost is $23"
That is,
3x + 5y = 23 ------------ (2)
Multiply equation (2) by 4 and subtract equation (1) from the result
4 × [ 3x + 5y = 23
12x + 20y = 92
- 12x + 2y = 47
-----------------------------
18y = 45
y = 45/18
y = 2.5
Substitute the value of y into equation (2)
3x + 5y = 23
3x + 5(2.5) = 23
3x + 12.5 = 23
3x = 23 - 12.5
3x = 10.5
x = 10.5/3
x = 3.5
Hence, cost of almond is $3.5 and cost of jelly beans is $2.5
Learn more on System of linear equations here: https://brainly.com/question/14295373
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