The answer would be 12/5. That's in fraction form.
Answer:
11 invitations each
Step-by-step explanation:
Let the number of invitations they bought be x .
Since they spent the same amount of money, Their total costs would be the same. Hence ;
3.25 + 0.75(x) = 0.5x + 6
0.75x - 0.5x = 6 - 3.25
0.25x = 2.75
x = 2.75/0.25
x= 11 invitations
Total amount of muffins: 3×6= 18 muffins.
Amount of muffins without nuts:
total amount of muffins - muffins with nuts
18-3= 15 muffins without nuts
Answer:
x = -1 and y = 1/2
Step-by-step explanation:
Let u = 1/x, and v = 1/y
Then the pair of equations
-3/x + 4/y = 11
1/x - 2/y = -5
Can be written as
-3u + 4v = 11 .................................(1)
u - 2v = -5......................................(2)
From (2)
u = 2v - 5 .......................................(3)
Substituting (3) into (1)
-3(2v - 5) + 4v = 11
-6v + 15 + 4v = 11
-6v + 4v = 11 - 15
-2v = -4
v = 4/2 = 2
Substituting this value of v in (3)
u = 2v - 5
u = 2(2) - 5
= 4 - 5
= -1
That is
u = -1, v = 2
Since u = 1/x, and v = 1/y, we have
1/x = -1
=> x = -1
And
1/y = 2
=> y = 1/2
Therefore
x = -1 and y = 1/2
