To solve this, set up two equations using the information you're given. Let's call our two numbers a and b:
1) D<span>ifference of two numbers is 90
a - b (difference of two numbers) = 90
2) The quotient of these two numbers is 10
a/b (quotient of the two numbers) = 10
Now you can solve for the two numbers.
1) Solve the second equation for one of the variables. Let's solve for a:
a/b = 10
a = 10b
2) Plug a =10b into the first equation and solve for the value of b:
a - b = 90
10b - b = 90
9b = 90
b = 10
3) Using b = 10, plug it back into one of the equations to find the value of a. I'll plug it back into the first equation:
a - b = 90
a - 10 = 90
a = 100
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Answer: The numbers are 100 and 10</span>
Look at it this way:
-- Since the two groups have the ratio of 4 to 7, then the first group has 4 parts
and the other group has 7 parts.
-- If the first group has 4 parts and the other group has 7 parts, then they have
11 parts all together.
-- Those 11 parts are all parts of 33. There must be ( 33 / 11 ) = 3 items in each part.
Now you can go back to the groups . . .
-- The first group has 4 parts.
With 3 items in each part, that's (4 x 3) = 12 items.
-- The other group has 7 parts.
With 3 items in each part, that's (7 x 3) = 21 items.
Answer:
3 hours and 51 minutes
Step-by-step explanation:
Take the ending time and subtract the start time
3:13pm - 11:22am
Remember that pm means aft 12 o'clock in the after noon so add 12 hours
12+3:13 - 11:22
15:13 - 11:22
We are subtracting more minutes than we have so we have to borrow from the hours
1 hour = 60 minutes
14 : 60+13 - 11:22
14:73 - 11:22
3: 51
3 hours and 51 minutes
First distribute the invisible 1 to the numbers in the parenthesis.
3x + 2 - 4x
Combine like terms.
-x + 2
