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?

Answer 1

Hey mate ^_^

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Answer:
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Let the unknown amount of 55% of Spinach Salad be 'x'.

Amount of Spinach,

$40\% \times 4 + 55\% \times x = 50\% \times (4 + x)$

$0.4 \times 4 + 0.55x = 0.5(4 + x)$

$1.6 + 0.55x = 2 + 0.5x$

$0.05x = 0.4$

$x = \frac{0.4}{0.05}$

$x = 8$

Therefore,

8 cups of 55% Spinach Salad were added to 4 cups of 40% Spinach Salad.

So,

12 cups of salad are in the resulting mixture.

#Be Brainly❤️

Answer 2

There are 12 cups of salad in the resulting mixture.

Given:

4 cups of a salad blend contain 40% spinach.

It is mixed with an unknown amount of a salad blend containing 55% spinach.

The resulting salad contains 50% spinach.

To Find:

The number of cups in the resulting mixture.

Solution:

We are given that:

The amount of spinach in the 4 cups of salad blend = 40% of 4.

= 160/100.

Let us assume that the total amount of the unknown salad blend = x.

The quantity of spinach in unknown amount of a salad blend containing = 55% of x = 55x/100.

The total amount of spinach blend = (4+x).

Also, the resulting salad contains 50% spinach = 50% of (4+x).

Converting all of the above statements into an equation, we get:

(40% of 4) + (55% of x) = 50% of (4+x).

⇒ 160/100 + 55x/100 = 50(4+x)/100

⇒ 160 + 55x = 200 + 50x.

⇒ 5x = 40

⇒ x = 8.

i.e. there are 8 cups of the unknown salad blend.

Hence, total salad blend = quantity of known and unknown salad blends = 4+8 = 12.

∴ There are 12 cups of salad in the resulting mixture.

#SPJ2