Let number of quarters in family piggy bank = x
Let number of dimes in family piggy bank = y
Given that "there are 12 times as many dimes are there are quarters". so we can write equation:
y=12x...(i)
Given that " total change is worth $21.75".
We know that 1 quarter = $0.25 and 1 dime = $0.10
So other equation will be :
0.25x+0.10y=21.75...(ii)
Now we just need to solve both equations.
Plug (i) into (ii)
0.25x+0.10y=21.75
0.25x+0.10(12x)=21.75
0.25x+1.2x=21.75
1.45x=21.75
x=15
plug x=15 into (i)
y=12x=12*15=180
Hence final answer is given as:
Number of quarters in family piggy bank = 15
Number of dimes in family piggy bank = 180
Answer:
(10,6)
Step-by-step explanation:
let c be x2,y2
then apply mid point formula
x=(x1+x2)/2
y=(y1+y2)/2
-A prime number is a whole numbergreater than 1, whose only two whole-number factors are 1 and itself. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.
- A whole number that can be divided evenly by numbers other than 1 or itself. Example: 9 can be divided evenly by 3 (as well as 1 and 9), so 9 is acomposite number. But 7 cannot be divided evenly (except by 1 and 7), so is NOT a composite number (it is a prime number).
3/4 divided by 1/5 = 3 3/4
Hope that helps :)
A)
s = sweater
j = jeans
Equations:
4s + 2j = 140
2s + 3j = 150
B)
4s + 2j = 140
2s + 3j = 150
Multiply (-2) to the second equation
-2 (2s + 3j = 150)
-4s - 6j = -300
Now you have the equations:
4s + 2j = 140
-4s - 6j = -300
-----------------------------add
-4j = -160
j = 40
4s + 2(40) = 140
4s + 80 = 140
4s = 60
s = 15
The cost for a sweater is $15 and the cost for a jean is $40
We used the elimination method to solve the system of equations.
C)
Each pair of jean, she will buy 3 sweaters so total = 40 + 3(15) = $85
Total cost for 1 pair of jeans and 3 sweaters = $85
If she has $225 the
$225 / $85 = 2.64
2 jeans = 2 x 40 = $80
6 sweaters = 6 x $15 = $90
So She can only buy 2 jeans and 6 sweaters
