Answer:
29 pounds of type A coffee was used
Step-by-step explanation:
David's shop makes a blend that is a mixture of 2 coffee
Type A costs $4.10
Type B costs $5.25
Let a represent the number of pounds of type A coffee used
Since this month's blend used twice as many pound of type B coffee as type A
a + 2a
The total cost is $423.40
Therefore the amount of pounds of type A coffee used can be calculated as follows
4.10a + 5.25(2a)= 423.40
4.10a + 10.5a= 423.40
14.6a= 423.40
a= 423.40/14.6
a= 29
Hence 29 pounds of type A coffee was used
If x is the first number in the sequence, you can represent the next consecutive number using (x+1), the one after with (x+2), etc. We can set up an equation like this:
x + (x+1) + (x+2) + (x+3) = 130
This can be simplified to:
4x + 6 = 130
Now subtract 6 from each side:
4x = 124
Next we divide each side by 4:
x = 31
We have the first number in the sequence, but we need the THIRD number. Since we've already established that (x+2) would be the third number, we can just plug in x.
31 + 2 = 33
The third number in this sequence is 33.
Answer:
20 x 12=240
Step-by-step explanation:
Solve for e
d = 1/e + 1/f
Move 1/f to the left side of the = sign
d - 1/f = 1/e
Multiply each side by e
e(d - 1/f) = e(1/e)
e(d - 1/f) = 1
Divide out (d - 1/f)
e(d - 1/f) / (d - 1/f) = 1 / (d - 1/f)
e = 1 / (d - 1/f)
20 ÷ 5 = 4
So there are 4 sets of 5 shirts. If there are 3 striped shirts per 5 then
3 x 4 = 12 striped shirts
Hope it helps!
