Answer:
Ben' share = 2(600/5) = $240
Step-by-step explanation:
Let the sum of money be x
Given that the ratio between Ali and Ben is 3:2
As adding both parts of ratio gives 5 parts so,
For finding one part = x/5
So according to given condition:
Ali's share(one part) + Ben's share(one part) = 120
3(x/5) - 2(x/5) = 120
By simplifying:
x/5 = 120
Multiplying both sides by 5
x = 600
So the total amount is 600
Ali's share would be = 3(600/5) = $360
Ben' share = 2(600/5) = $240
i hope it will help You!
Let x = no. of 10 oz cups sold
Let y = no. of 14 oz cups sold
Let z = no. of 20 oz cups sold
:
Equation 1: total number of cups sold:
x + y + z = 24
:
Equation 2: amt of coffee consumed:
10x + 14y + 20z = 384
:
Equation 3: total revenue from cups sold
.95x + 1.15y + 1.50z = 30.60
:
Mult the 1st equation by 20 and subtract the 2nd equation from it:
20x + 20y + 20z = 480
10x + 14y + 20z = 384
------------------------ subtracting eliminates z
10x + 6y = 96; (eq 4)
Mult the 1st equation by 1.5 and subtract the 3rd equation from it:
1.5x + 1.5y + 1.5z = 36.00
.95x + 1.15y+ 1.5z = 30.60
---------------------------subtracting eliminates z again
.55x + .35y = 5.40; (eq 5)
Multiply eq 4 by .055 and subtract from eq 5:
.55x + .35y = 5.40
.55x + .33y = 5.28
--------------------eliminates x
0x + .02y = .12
y = .12/.02
y = 6 ea 14 oz cups sold
Substitute 6 for y for in eq 4
10x + 6(6) = 96
10x = 96 - 36
x = 60/10
x = 6 ea 10 oz cups
That would leave 12 ea 20 oz cups (24 - 6 - 6 = 12)
Check our solutions in eq 2:
10(6) + 14(6) + 20(12) =
60 + 84 + 240 = 384 oz
A lot steps, hope it made some sense! I hope this helps!! ;D
Answer:
Sugar = 1-2/5 pounds, Flour = 3-1/2 pounds
Together = 5-9/10 pounds
Step-by-step explanation:
sugar = 7(2/10)
flour = 7(5/10)
sugar + flour = 7(2/10) + 7(5/10)
sugar = 14/10 or 1-2/5 pounds
flour = 35/10 or 3-1/2 pounds
Dang elementary school homework is hard
Answer:
C. f = 9
Step-by-step explanation:
<u>→Subtract 5 from both sides:</u>
3f + 5 = 32
- 5 - 5
_________
3f = 27
<u>→Divide both sides by 3:</u>
f = 9
