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Tory goes shopping and buys pencils and notebooks. if tory buys a total of 8 items, p of which are pencils, write an expression for the number of notebooks tory buys. if each pencil costs $0.29 and each notebook costs $2.59, write expressions for: how much tory spends on pencils. how much tory spends on notebooks. how much tory spends altogether. if tory's bill is $9.22, how many pencils does tory buy?

Respuesta :

apocritia

Solution:

we are given that

Tory goes shopping and buys pencils and notebooks

Tory buys a total of 8 items, p of which are pencils.

So Number of Notebooks[tex] =(8-p)\\ [/tex]

Also we are given that each pencil costs $0.29 and each notebook costs $2.59.

So Total spending on pencil can be given by the expression=$0.29P

The Total spending on the Notebook can be given by the expression=$2.59(8-P)

Total spending all together=$0.29P+$2.59(8-P)

Since we are given that Tory's bill is $9.22

So we can write

[tex] 0.29P+2.59(8-P)=9.22\\
\\
\text{Solve for p we get}\\
\\
0.29p+2.59*8-2.59P=9.22\\
\\
2.3P=20.72-9.22\\
\\
2.3P=11.5\\
\\
P=5\\ [/tex]

Hence Tory Buys 5 Pencils.



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