Question

A grocer has two kinds of tea, one that sells for $8.00 per pound and the other that
sells for $6.00 per pound. How many pounds of each kind must he use to make 50
pounds of tea that will sell for $7.40 per pound?

Answer 1

Answer:

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 cen

Answer 2

TYPE 1 & TYPE 2 tea sold of $8 & $6 per pound respectively = 35 and 15 pounds respectively

Given : Two types of tea, with price $8 per pound & $6 per pound respectively. Total pounds of tea sold = $50

Let the pounds sold, of first type tea of $8 per pound be = x

So, pounds of 2nd type tea of $6 per pound sold be = 50 - x

To find : Pounds of each type of tea sold, for average 7.4 per pound

• Total value of tea (Type 1 & Type 2) sold / Units (Pounds of tea sold) = Average price per pound

[ 8x + 6 (50 - x) ] / 50 = 7.4

( 8x + 300 - 6x ) / 50 = 7.4

2x + 300 = 7.4 x 50 = 370

2x = 370 - 300 = 70

x = 70 / 2 = 35 {First Type Tea Sold}

Other type Tea sold = 50 - x

= 50 - 35 = 15 {Second Type Tea Sold}

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