Answer:
GCF=4
Step-by-step explanation:
16/4=4
24/4=6
36/4=9
5x + 4y = 32 ⇒ 45x + 36y = 288
9x - 1y = 33 ⇒ <u>45x - 5y = 165</u>
<u>41y</u> = <u>123</u>
41 41
y = 3
5x + 4(3) = 32
5x + 12 = 32
<u> - 12 - 12</u>
<u>5x</u> = <u>20</u>
5 5
x = 4
(x, y) = (4, 3)
Answer:
6 pounds of coffee.
Step-by-step explanation:
First, we determine how much money she spent. 80-31.76 = 48.24
Next, we divide the money spent by the price per unit. 48.24/8.04=6
Therefore, she bought 6 pounds of coffee.
Answer:
x=1.4 y=2.8
Step-by-step explanation:
Lets substitute y with 2x. We get: 1.85x+7.4x=12.95.
Simplifying by combining x: 9.25x=12.95
Then you just divide 12.95 by 9.25: x=1.4
Now for y. We know why is 2x so we just have to multiply x by 2: y=2x, y=2.8.
Answer:
The price of the cake is $24 and the price of the Pie is $15
Step-by-step explanation:
Given
<em>Represent price of Cake with C and Price of Pie with P</em>
Cakes sold = 8
Pies sold = 14
Required
Determine C and P
To represent the cakes and pies sold, we have the following expression
Substitute 9 + P for C
Open the bracket
Collect Like Terms
Divide both sides by 22
Recall that
<em>Hence, the price of the cake is $24 and the price of the Pie is $15</em>