The cost of 2 bottles of water and 3 bags of pretzels is $7.05. The cost of a bag of pretzels is $1.35. Write a system of equations to represent this situation. Solve and explain what the answer means.
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let w be the cost of a bottle of water and p be the cost of a bag of pretzels
"2 bottles of water and 3 bags of pretzels is $7.05" can be written as
2w + 3p = 7.05
eq.1
"The cost of a bag of pretzels is $1.35" can be written as
p = 1.35
eq 2
Together, eq 1 and eq 2 make up your system of equations
To solve, take eq 2 and substitute this value int eq 1
2w + 3 (1.35) = 7.05
2w + 4.05 = 7.05
2w= 7.05 - 4.05
2w = 3
w = 1.5
Hence the cost of a bottle of water is
$1.50
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