For a party, you are cooking a large amount of stew that has meat, potatoes, and carrots. The meat costs $6 per pound, the potatoes cost $3 per pound, and the carrots cost $1 per pound. You spend $48.50 on 13.5 pounds of food. You buy twice as many carrots as potatoes.
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I need 3 equations that represent how much food I bought (in a triple variable systematic way)

Question

For a party, you are cooking a large amount of stew that has meat, potatoes, and carrots. The meat costs $6 per pound, the potatoes cost $3 per pound, and the carrots cost $1 per pound. You spend $48.50 on 13.5 pounds of food. You buy twice as many carrots as potatoes.
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I need 3 equations that represent how much food I bought (in a triple variable systematic way)

jim_thompson5910 · Answer

"The meat costs $6 per pound, the potatoes cost $3 per pound, and the carrots cost $1 per pound" and "You spend $48.50" means

6x + 3y + 1z = 48.50

where x = amount of meat, y = amount of potatoes and z = amount of carrots (all 3 amounts are in pounds

jim_thompson5910 · Answer

the total amount is 13.5 pounds, so

x+y+z = 13.5

jim_thompson5910 · Answer

and finally

You buy twice as many carrots as potatoes.

means that

z = 2y

anonymous · Answer

Now, can I use those equations to find each of XYZ?

jim_thompson5910 · Answer

yes you can

jim_thompson5910 · Answer

do you know how?

anonymous · Answer

Yes I can, thank you for the help :)

jim_thompson5910 · Answer

yw