Question

Marty earns $24 per hour. Marissa earns a base weekly salary of $100 plus $8 per hour.

How long will Marty and Marissa have to work to earn the same amount of money?

A.
16 hours


B.
12.5 hours


C.
6.25 hours


D.
3 hours

y = x + 2
2x + 3y = 36

What is the length of one of the shorter congruent sides?

A.
2 centimeters


B.
6 centimeters


C.
8 centimeters


D.
17 centimeters

Answer 1

A ) The Time at which both will earn same amount is T = 6.25 hours B ) The shorter length is 6 cm

Explanation:

Given as :

A ) The amount earn by Marty = $24 per hour

The amount earn by Marissa = $100 weekly + $8 per hour

Let The number of hours they work to earn same amount = T hours

So, 24 T = 8 T + $100

Or, 24 T - 8 t = $100

Or, 16 T = $ 100

So, T =
`(100)/(16)`

Or, T =
`(25)/(4)`

∴ T = 6.25 hours

B ) Given expression as :

y = x + 2

2 x + 3y = 36

Now put the value of y from first to second eq :

So , 2 x + 3×( x + 2 ) = 36

Or, 2 x + 3 x + 6 = 36

Or, 5 x = 30 - 6

Or, 5 x = 30

∴ x =
`(30)/(5)` = 6

And y = x + 2

So, y = 6 +2 = 8

So, The shorter length is 6 cm

Hence The Time at which both will earn same amount is T = 6.25 hours And The shorter length is 6 cm Answer