Question

Four cups of a salad blend containing 40% spinach is mixed with an unknown amount of a salad blend containing 55% spinach. The resulting salad contains 50% spinach.

How many cups of salad are in the resulting mixture?

8
9
12
13

Answer 1

@shinalcantara

Answer 2

Yes.

Answer 3

let 'x' be the amount @ 40%
'y' be the amount @ 55%
then you'll have
0.40x + 0.55y = 0.50(x+y) -----equation 1
0.40(4) + 0.55y = (0.50)(4+y)
get the value of y

Answer 4

remember that the resulting mixture amounts to x+y

Answer 5

8 ?

Answer 6

yes and the the resulting mixture is?

Answer 7

8

Answer 8

x + y ?

Answer 9

x being 4 and y=8
resulting mixture = x + y
= 4 + 8
=12

Answer 10

Oooh .

Answer 11

in dealing with mixture problems, all you have to do is to identify the amount and the concentration and the resulting mixture

Answer 12

say in this problem, you have 4cups @ 40% concentration, y-cups @ 55% concentration.
0.40(4) + 0.55y. since the desired mixture is 50% concentrated then you can say that adding the amounts 4cups and y-cups would result to 50% mixture then you'll have it as
0.40(4) + 0.55y = 0.50(4 + y)