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Bill consumes two goods: iced tea and spaghetti. The price of iced tea is $2 per bottle, and the price of spaghetti is $8 per serving. His income is $1,000 per month. He spends all of his income each month. He purchases 200 bottles of iced tea. How many servings of spaghetti does he purchase

Respuesta :

Answer;

No of spaghetti he purchase [tex]y=100[/tex]

Explanation:

Given,

Price of iced tea is[tex]=\$ 2[/tex] per bottle

Price of spaghetti is [tex]=\$ 8[/tex] per serving

Let no iced tea is [tex]=x[/tex]

Let no of spaghetti =[tex]=y[/tex]

[tex]x+y=200[/tex]  

multiply by 2

[tex]2x+2y=400[/tex]               (i)

[tex]2x+8y=1000[/tex]              (ii)

    (ii)-(i)  

[tex]2x+8y-2x-2y=1000-400[/tex]

[tex]6y=600[/tex]

[tex]y=100[/tex]

[tex]x+y=200[/tex]

[tex]x=200-100[/tex]

[tex]x=100[/tex]

No of spaghetti is 100

No of iced tea is 100