A grocer has two kinds of tea: one selling for 80 cents a pound and the other selling for 60 cents a pound. How many pounds of e
ach kind must be used to make 50 pounds worth 74 cents a pound?
2 answers:
Answer:
35 pounds of tea for 80 cents.
15 pounds of tea for 60 cents.
Step-by-step explanation:
x · 80 + y · 60 = 50 · 74
x + y = 50 · (- 60)
80x + 60y= 50 · 74
- 60x - 60y = -50 · 60
20x = 50 · (74-60) = 50 · 14
x = 50 · 14/20
35 pounds of tea for 80 cents.
y = 50 - 35 =
15 pounds of tea for 60 cents.
Answer:
35 pounds of tea for 80 cents.
Step-by-step explanation:
Equation::
value + value = value
80x + 60(50-x) = 74*50
80x + 60*50 - 60x = 74*50
20x = 14*50
x = 35 lbs (amt. of 80 cent tea to use)
50-x = 15 lbs (amt. of 60 cent tean to use)
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