Max was on vacation twice as long is Jared and half as long as Wesley. The boys were on vacation a total of three weeks. How many days with each boy on vacation?
Answers
To begin with, the question is asking for the answer in days, so let's change 3 weeks to days. There are 7 days in 1 week; 3 weeks times 7 days = 21 days. 21 total days of vacation.
Max + Jared + Wesley = 21 days (Let's use the first letter of their name to represent their vacation time)
M + J + W = 21 [This is the equation we'll be coming back to]
Now, we can use the clues given in the question to have an equation for each variable/boy.
Max was on vacation twice as long as Jared. We can interpret this as M= 2J Max was on vacation only half as long as Wesley. We can interpret this as M = (1/2)W.
So far we have these three equations: M + J + W = 21M = 2J M = (1/2)W
To have an equation for each individual boy, we must rearrange the last two equations in the list.
First, M = 2J. Divide both sides by 2 M/2 = 2J/2 (1/2)M = J
Second, M = (1/2)W Multiply both sides by 2 2M = W
New equations: M + J + W = 21 [From the old list] J = (1/2)W W = 2M
Now we can substitute the last two equations into the first one. M + J + W = 21 M + (1/2)W + 2M = 21 [Combine Like Terms] (7/2)M = 21
Then, solve for M (Max's vacation days): Multiply both sides by 2/7 M = 6
Now we know Max was on vacation for 6 days.
If Max was on vacation twice as long as Jared, that means Jared was on vacation HALF as long as Max.
So... J = (1/2)M J = (1/2) * 6 J = 3 Jared was on vacation for 3 days
Wesley was on vacation twice as long as Max so... W = 2M W= 2*6 W = 12 Wesley was on vacation for 12 days.
Let's double check our answer: M + J + W = 21 days6 + 3 + 12 = 21 The numbers work out so the math is correct. Hope this helps and makes sense!
What is the best estimate for the product of 289 and 7
Answers
If you were estimating you would change the numbers to 290 and five and multiply, which would give you 1,450
It would be 1,450 .........
Below are the data collected from to random samples of 100 members of a large travel club regarding the type of vacation they prefer. Which of the following inferences can be made based o the data
Answers
More members prefer a beach vacation and a ski vacation than a cruise vacation
Answer:
b
Step-by-step explanation:
Bennett has 107 photographs to place in the school yearbook. She will put the same number of photos on each of the 13 pages. If she can put 4 pictures in a row, how many photographs will not be placed in the yearbook?
Answers
Answer:
55 photographs
Step-by-step explanation:
4 x 13 = 52 photographs, this is the total photographs she can put in the yearbook.
107 - 52 = 55 photographs will not be placed in the yearbook
Help hahahahahahhahahahahahhahahahahahahahahhahahaha!
Answers
Hello!
The two numbers are 33 and 19. You can find this out by doing 33*19=627.
Thus, the two numbers whose product is 627 is 33*19.