SOLUTION: a grocery shopper bought 6 ib of steak and 20 ib of groundbeef the steak cost $5/ib more than the groundbeef and the total bill was $82 what was the price per pound for each type o
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Question 1126333: a grocery shopper bought 6 ib of steak and 20 ib of groundbeef the steak cost $5/ib more than the groundbeef and the total bill was $82 what was the price per pound for each type of meat?
Let B be the price per pound of groundbeef, in dollars.
Then the price per pound for steak is (B+5) dollars.
6 lb of steak cost 6*(B+5) dollars.
20 lb of groundbeef cost 20*B dollars.
An equation for the total is
6*(B+5) + 20*B = 82 dollars.
Simplify and solve for B :
6B + 30 + 20B = 82
26B = 82 - 30 = 52
B = 52/26 = 2 dollars.
Answer. The price per pound of groundbeef is $2; the price per pound of steak is 2+5 = 7 dollars.
Check. 6*7 + 20*2 = 82 dollars. ! Correct !
