need help with algebra

Question

A furniture company produced 2227 chairs in one day working two shifts. The second shift produced

50 chairs fewer than eight-thirds of the number of chairs produced by the first shift. Determine the number of

chairs produced by the second shift.

i set it up as (8/3)f-50+f=2227

is this right, am i approaching it in the correct way?

Answer 1

Your equation is correct and will give you the number of chair produced by the first shift.

Hint:

An easy way to get the expression for the second shift is to READ THE SECOND SENTENCE BACKWARDS IN SMALL PHRASES. It works like this:

A. The (second shift produced)

B. (50 chairs fewer than)

C. (eight-thirds of)

D. (the number of chairs produced by the first shift).

Reading from line D gives. f.

Reading from line C remembering that the word "of" means multiply gives. 8/3 (f)

Reading from line B remembering that "fewer than" means subtract gives. 8/3 (f) - 50

This technique often untangles a complex sentence.

Good job!!

Answer 2

Looks correct to me.