Given :
Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters.
They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding.
To Find :
How many dimes and quarters in Lulu holding?
Solution :
4.10 dollar = 410 cents
Let, number of dimes and quarter are x and y.
So, x + y = 20 ...1)
Also, 10x + 25y = 410 ...2)
Putting value of 1) in equation 2), we get :
10x + 25( 20 - x ) = 410
10x + 500 - 25x = 410
15x = 90
x = 6
y = 14
Therefore, number of dimes and quarters are 6 and 14 respectively.
Hence, this is the required solution.
Answer:
Step 2: Commutative Property
Step 3: Associative Property
Step-by-step explanation:
According to the Commutative Property of Addition: Two real numbers can be added in either order.
a + b = b + a
Therefore, she used the Commutative Property in Step 2.
In Step 3, she used the Associative Property, in which the grouping of the addends does not change the sum.
Answer: 60 L
Step-by-step explanation:
Given
The measurement of a rectangular vessel is 
If we multiply the given terms then it will give the volume of the rectangular vessel in
.
So, the volume of the rectangular vessel is

Also, we know
i.e. to convert
to L, divide the result by 1000.

If you subtract 4 from both sides your left with 15, then divide by 3 to find x. your left with x=5