Tom wants to buy some protein bars and magazines for a trip he has decided to buy three times as many protein bars with magazines each protein bar cost $.70 and each magazine cost $2.50 the sales tax rate on both types of these items are 6.5% how many of each item can he buy if he has $20 to spend

Respuesta :

Answer:12 Protein bar and 3 magazines

Step-by-step explanation:

Given

Tom purchases Protein bars 3 times as much as magazine

Each bar cost  [tex]\$ 0.7[/tex]

Each magazine costs [tex]\$ 2.50[/tex]

Sales tax is 6.5 %

suppose Tom buy x magazines so

Price of magazine is [tex]2.5 x[/tex]

Price of bars is [tex]3\times 0.7x=2.1 x[/tex]

Total Price[tex]=2.5 x+2.1 x=4.6 x[/tex]

After sales tax [tex]=4.6x(1+0.065)=4.899 x[/tex]

This must be less than [tex]\$ 20[/tex]

so [tex]4.899x < 20 [/tex]

[tex]x< 4.082[/tex]

thus [tex]x=4[/tex]

so he but 4 magazines and 12 protein bars

Answer:

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Step-by-step explanation:

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