Answered

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Thomas bought 12 glass and plastic cups from
the store. Glass cups cost $3.25 and plastic
cups cost $2.75. Thomas spent a total of
$36.00. How many glass cups (g) and how
many plastic cups (p) did he buy?
g+p=12
3.25g +2.75p = 36
[?] glass cups [] plastic cups

Sagot :

Ritmeks

Thomas bought 6 glass cups and 6 plastic cups

How to calculate the number of glass and plastic cups ?

Thomas bought 12 glass and plastic cups from the store

Glass cups costs $3.25

Plastic cups cost $2.75

He spent a total of $36

Let g represent the number of glass cups and p represent the number of plastic cups

g + p= 12.........equation 1

3.25g + 2.75p= 36..........equation 2

From equation 1

g+p= 12

g= 12-p2

Substitute 12-p for g in equation 2

3.25(12-p)+2.75p = 36

39-3.25p+2.75p= 36

39-0.5p= 36

-0.5p= 36-39

-0.5p= -3

p= -3/-0.5

p= 6

Substitute 6 for p in equation 1

g + 6= 12

g= 12-6

g= 6

Hence there are 6 glass cups and 6 plastic cups

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