Let x= original savings
(x-1,600) - 2/5 (x-1,600) = 1/3x
(x-1,600) - 2/5 + 640 = 1/3x
(3/5)x - 960 = 1/3x
(3/5)x - (1/3)x = 960
(4/15)x = 960
(15/4)(4/15)x = (15/4) 960
x = 15* 240 (960/4 = 240)
x = $3,600 is his original savings
Check:
$3,600 - 1,600 = 2,000
(2/5)($2,000) = $800
2,000 - 800 = 1,200 left over
Answer:
C. 75
Step-by-step explanation:
First, list the multiples of each numbers and stop when you reach the least common multiple (the smallest number the numbers can multiply up to):
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75 . . .
25: 25, 50, 75 . . .
15: 15, 30, 45, 60, 75 . . .
5 times 15 is 75, 25 times 3 is 75, and 15 times 5 is 75. Their LCM is 75.
Answer:
Willhelm was solving a problem in which we had to find the answer to 10(6) and then 15(4). This is why he counted 10 6 times, and then 15 4 times. I hope this helps :)
Answer:
a)4080 trees
b)104 trees
Step-by-step explanation:
<u>1st - 24 trees</u>
<u>last (40th) - 180 trees</u>
If differences between any row (except 40th) and next row are equal then
<u>2nd - 24 trees+X</u>
<u>3rd - (2nd+X) or 24 trees + 2X</u>
coefficient of X is <u>number of row minus 1</u>, therefore 40th row has <u>24 trees + 39X</u>, and it is equal to <u>180</u>. We can make an equation from this:
<u>24tr+39X=180tr</u>
<u>39X=156tr</u>
<u>X=4tr</u>
By this we can find how many trees are there in the 21st, 21st row has 24 trees+20X=24 trees+80 trees=104 trees
To find how many trees are there in the whole orchard, we add them all:
<u>1st - 24 trees, 2nd - 24 trees + X, 3rd - 24 trees + 2X,</u>
easily, it is just <u>24 trees x 40 + 39X x 20 = 4080 trees</u>
Given:
Amount of flour in a bin = 30 cups
Flour required for each signature cake = 
cups
To find:
The correct equation and graph for the given situation.
Solution:
Let F be the amount of flour in the bin and c be the number of signature cakes.
Flour required for each signature cake = cups
Flour required for each signature cake = 
cups
Flour required for c signature cakes = 
cups
Amount of flour in a bin is 30 cups and it is reduced by 1.5c cups. So, the amount of flour in the bin is:
At 
, we get
At 
, we get
Therefore, the required equation is and the 4th graph is correct.
