A grocer bought a box of soap containing 72 bars for $24.50. Some of the soap he sold at 3 bars for $1.25, and the rest at $.35 a bar. This gave a profit of $3.90. How many bars did he sell at each price?

Question

anonymous · Answer

idk

anonymous · Answer

The total amount he spent on purchasing 72 bars = 24.50

Lets say he sold x bars at 1.25 and y bars at .35.

So the total number of bars:
$$x+y=24$$

The total amount he made by selling the bars:
$$1.25\times x + .35\times y = 24.50+3.90 = 28.40$$

Solve the two equations for x and y and simplify.

anonymous · Answer

magarwal you second expression is correct. but te first expression does not make sense. it should be 3x + y = 72 where x is the number of batches sold at 1.25 and y is the number of bars sold individually

anonymous · Answer

when you solve simultaneously you get x=16 and y=24. i.e he sold 16 batches at 1.25 and 24 individuals at .35 each

anonymous · Answer

I am sorry, my bad the first expression should have been as KBOY said $$3x+y=72$$