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
Algebra.Com
Question 1126335: 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?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
6 pounds of steak
20 pounds of groundbeef
Steak costs $5 more per pound. If x is the cost per pound of groundbeef, then x+5 is the cost per pound of steak.
(amount of steak)*(cost per pound of steak)+(amount of ground beef)*(cost per pound of ground beef) = total bill
(6 pounds)*(x+5 dollars)+(20 pounds)*(x dollars) = 82
6(x+5)+20x = 82
6x+30+20x = 82
26x+30 = 82
26x+30-30 = 82-30 .......... subtract 30 from both sides
26x = 52
26x/26 = 52/26 .............. divide both sides by 26
x = 2
If x = 2, then,
x+5 = 2+5 = 7
It costs $2 per pound for ground beef, and it costs $7 per pound for steak
Check:
(amount of steak)*(cost per pound of steak)+(amount of ground beef)*(cost per pound of ground beef) = total bill
(6 pounds)*(7 dollars per pound)+(20 pounds)*(2 dollars per pound) = 82
(6*7) + (20*2) = 82
42 + 40 = 82
82 = 82
Solution has been confirmed
RELATED QUESTIONS
a grocery shopper bought 6 ib of steak and 20 ib of groundbeef the steak cost $5/ib more... (answered by ikleyn)
a grocery shopper bought 6 lb. of steak and 20 lb. of ground beef. the steak cost $5/lb... (answered by addingup)
What is the conjugate of... (answered by stanbon)
Find the amount saved by a grocery Shopper who bought 10.46 lb of steak regularly priced... (answered by Alan3354)
(a+ib)(a-ib) (answered by rahman)
A restaurant chef mixes 20 Ib of snow peas costing $1.99 a pound with 14 Ib of petite... (answered by robertb)
express the ff. in a+ib form... (answered by Alan3354)
Find the a+ib for of cis(15 degrees). Do this in another way by dividing the a+ib forms... (answered by Alan3354)
Shopper purchased 12lb of steak and 30lb of ground beef. Steak costs $5 more per pound... (answered by josgarithmetic)