Solving logarithm equations
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Answer
Find out how many bags of each type of fruit did jordan buys .
To prove
let us assume that the number of orange bags jordan buys be = x
let us assume that the number of apples bags jordan buys be = y
As given
At a farmers market, oranges sell for $5 per bag and apples sell for $3 per bag.
Jordan buys 7 bags of fruit for $31.
Than the equation becomes
x + y = 7
5x + 3y = 31
Multiply x + y = 7 by 3 and subtracting from 5x + 3y = 31 .
5x - 3x + 3y - 3y = 31 -21
2x = 10
x = 5
put this in the x + y = 7 .
5 + y = 7
y = 7-5
y = 2
Therefore the number of oranges bags jordan buys be 5 .
the number of apples jordan bags buys be 2.
Hence proved