Nathan B. answered • 09/29/15

Tutor

5
(20)
Elementary and Algebraic skilled

Let's first name our variables: x and y for the two shifts. Here's what we know:

x + y = 2320 (2320 chairs made in a day)

y =

^{4}/_{3}x - 60 (the second shift made 60 less than^{4}/_{3}of the first)From here we have a substitution method as we have a value for one of our variables:

x + (

^{4}/3x - 60) = 2320We need to add like terms.

1 ⇒

^{3}/_{3}^{7}/

_{3}x - 60 = 2320

Now we need to isolate x. Start by moving the constant over by adding 60 to both sides:

^{7}/

_{3}x = 2380

Now multiply both sides by 3/7 to isolate x

x = 2380 *

^{3}/_{7}x = 340 * 7

x = 1020 chairs

Now that we know x, we can solve for y:

y =

^{4}/_{3}* 1020 - 60y = 1360 - 60

y = 1300 chairs

Now to check our answer:

1020 + 1300 = 2320

2320 = 2320