Answer:
$1.5 and $8.75
Step-by-step explanation:
Given data
let tables be x and chairs be y
The total cost to rent 3 chairs and 2 tables is $22
so
3x+2y=22----------1
The total cost to rent 5 chairs and 6 tables is $60
so
5x+6y=60---------2
the system of equation is
3x+2y=22----------1X 6
5x+6y=60---------2X 2
18x+12y= 132
- 10x+12y=120
8x+0y= 12
8x= 12
divide both sides by 8
x= 12/8
x=$1.5
put x= 1.5 in 2
5(1.5)+6y=60---------2
7.5+6y=60
6y=60-7.5
6y=52.5
divide both sides by 6
y= 52.5/6
y=$8.75
Answer: ![\leq $25](https://tex.z-dn.net/?f=%5Cleq%20%2425)
![Greater then or equal to $15](https://tex.z-dn.net/?f=Greater%20then%20or%20equal%20to%20%2415)
Step-by-step explanation:
Answer: A cherry pie costs 9 and an apple pie cost 12
Step-by-step explanation:
Let an apple pie be represented by a
Let an cherry pie be represented by c
Jennifer sold 12 cherry pies and 3 apple pies for a total of 144. This can be written as:
12c + 3a= 144
Jacob sold 2 cherry pies and 9 apple pies for a total for 126. This can be written as:
2c + 9a = 126
12c + 3a= 144 ............. i
2c + 9a = 126 ........... ii
Multiply equation i by 2
Multiply equation ii by 12
24c + 6a = 288 ........ iii
24c + 108a = 1512 ...... iv
Subtract iv from iii
-102a = -1224
a = 1224/102
a = 12
An apple pie costs 12
From equation i
12c + 3a= 144
12c + (3×12) = 144
12c + 36 = 144
12c = 144 - 36
12c = 108
c = 108/12
c = 9
A cherry pie costs 9
10,201 is the answer to the question