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Vito is picking up coffee and pastries for his friends. At a local coffee shop, each cup of coffee costs $2.50, and each pastry costs $4.00. If he buys a total of nine items at the coffee shop and spends a total of $28.50, how many pastries does he buy?
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JeanaShupp

Answer: He bought 4 pastries.

Step-by-step explanation:

Let x = Number of cups of coffee

y= Number of pastries.

As per given,

x+y=9            ....(i)

2.5x+4y=28.50           ...(ii)

Multiply 4 to (i), we get

4x+4y=36   ...(iii)

Eliminate (ii) from (iii), we get

[tex]1.5x=7.5\\\\\Rightarrow\ x=5[/tex]

Put x=5 in (i) , we get

5+y=9

y= 4

Hence, He bought 4 pastries.

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