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 each kind mus

Question

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 each kind must be used to make 50 pounds worth 74 cents a pound?

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Hồng Cúc 5 years 2021-09-05T10:31:54+00:00 2 Answers 16 views 0

Answers ( )

  1. thuthuy
    0
    2021-09-05T10:32:57+00:00
    Reply

    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.

  2. kiet
    0
    2021-09-05T10:33:32+00:00
    Reply

    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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