Brand X has to mix 8.4 oz of brand A mixed nuts which contain 35% peanuts and 12.6 oz of brand B mixed nuts which contain 25%, to obtain 21 oz. Bags of mixed nuts that contain 29% peanuts.

Step-by-step explanation:

We define

$B_{A}=1oz @ 35\%$ , wich means Brand A has 1 oz containing 35% peanuts.

$B_{B}=1oz @ 25\%$ , wich means Brand b has 1 oz containing 25% peanuts.

So we can build an equiation system

(1) $B_{a}+B_{b}=21$

(2) $0.35 \times B_{a}+0.25 \times B_{b}=0.29 \times 21$ , after fixing it a little

(2) $0.35B_{a}+0.25B_{b}=6.09$

As we can use any method to solve the system, I used a calculator wich thrown the following results $B_{a}=8.4 \ oz$ and $B_{b}=12.6 \ oz$ .

4 0

3 years ago

2.1 liters of coffee were equally distributed to 30 cups how many millimeters of coffee were in each cup

sattari [20]

Answer: 70 ml of coffee in each cup

Step-by-step explanation:

1 liter = 1000 ml

Amount of coffee given = 2.1 liters

$\Rightarrow$ 2.1 liters = 2.1 * 1000 = 2100 ml

Total number of cups = 30

$\therefore$ Amount of coffee in each cup = $\frac{Total\ amount \ of \ coffee}{number\ of \ cups}$ = $\frac{2100}{30}$ =70

∵ Amount of coffee in each cup = 70 milliliters

4 0

3 years ago

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