Let's look at work rates per minute.
Together they can paint the wall in x minutes.
Working together, in 1 minute, they do 1/x of the job.
The student who paints the wall in 16 minutes does 1/16 of the job in 1 minute.
The student who paints the wall in 24 minutes does 1/24 of the job in 1 minute.
Together, they do 1/16 + 1/24 of the job in 1 minute, but from above, we see that together, they do 1/x of the job in 1 minute, so 1/16 + 1/24 must equal 1/x. That gives us our equation.
1/16 + 1/24 = 1/x
1/16 * 3/3 + 1/24 * 2/2 = 1/x
3/48 + 2/48 = 1/x
5/48 = 1/x
x = 48/5 = 9.6
Answer: It takes them 9.6 minutes, or about 10 minutes to do the job together.
Answer:
7/8 of a cake
Step-by-step explanation:
4 4/4 - 3 1/4 = 1 3/4
7/4 x 1/2 = 7/8
The answer is 5x + 30 = 12x
x - the number of pies
It costs her $5 to make each pie<span>, plus a one-time cost of $30 for baking supplies:
</span>COST: f(c) = 5x + 30
<span>She plans to sell the pies for $12 each:
PROFIT: f(p) = 12x
</span><span>To find the number of pies she needs to sell to break even:
f(c) = f(p)
5x + 30 = 12x</span>
Total number of muffins = 12 muffins
Total number of people sharing muffin = 8
Muffins each person will receive = Total number of muffins
---------------------------------
People sharing muffins
= 12/8
= 1 1/2 OR 1.5 muffins
