A + w = 300
a = w + 40
(w + 40) + w = 300
2w + 40 = 300
2w = 300 - 40
2w = 260
w = 260/2
w = 130 <=== cost of wooden bat
a = w + 40
a = 130 + 40
a = 170 <=== cost of aluminum bat
Answer:
Step-by-step explanation: Turn the mixed number into an improper fraction. -1 2/5 becomes -7/5. To divide fractions, you keep the first fraction, change the division sign to mulitplication and flip the second fraction. Then just multiply across the top and across the bottom. You will get 105/70. Reduce by dividing both numerator and denomination by 35 Result will be 3/2.
12 is equivalent to three and 36 is equivalent to 12 three goes into 12 four times and and 36 goes into 12 three times
<span>Let us first find a ratio between the quantity of work done by Darnell and Julius. If Darnell does one part of the work, Julius does two parts of the work. That is, their work quantity ratio is 1:2. (Total 3 parts) In other words when Darnell does 1/3 of the work, Julius does 2/3 of the work.
When they work together, the work is completed in 4 hours. 4 hours work is the combined output of 1/3 by Darnell and 2/3 by Julius. If Julius was not there, Darnell would have to work for more than 4 hours.
We already know that Darnell does only 1/3 of a work during any given time. If the given time is 4 hours, how many one-thirds will Darnell require? To find the answer, divide the given number (4 hours in this case) by the given fraction( 1/3 in this case) To divide a number by a fraction, multiply the number by the reciprocal of the fraction. Thus it becomes 4 divided by 1/3 = 4 x 3/1 = 12.
(Another hint: At the rate of 1/3 of a work in one hour, Darnell will needs 3 hours to complete the given task. If the given work is 4 hours long, Darnell will take 4 x 3 hours, that is 12 hours.)</span>