Mathematics : asked on gemouljr
 19.04.2022

Manual 30 Liters of a mixture of water and 10% lemon juice he has a mixture of 8% lemon juice and A mixture of 20% lemon juice. how many liters of the 8% and 20% make should he mix to get what he wants

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02.11.2021, solved by verified expert
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Answer: Manuel needs 20 liters of the 8% and 5 liters of 20% mixtures to be mixed so as to get 30 liters of a mixture of water and 10% lemon juice.

Explanation:
Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.
Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.
Since Manuel wants to produce a 30 liters mixture from 8% lemon juice and 20% lemon juice, hence:
x + y = 30 (1).
Also, Manuel wants 30 liters of a mixture of water and 10% lemon juice, hence:
8% of x + 20% of y = 10% of 30 liters;
0.08x + 0.2y = 3 (2).
Solving equation 1 and 2 simultaneously; multiply equation 1 by 0.2 and subtract equation 2 from the result:
0.12x = 3;
x = 25 liters.
x + y = 30;
25 + y = 30;
y = 5 liters.
Hence, Manuel needs 20 liters of the 8% and 5 liters of 20% mixture.
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Mathematics
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P Answered by PhD
Answer: Manuel needs 20 liters of the 8% and 5 liters of 20% mixtures to be mixed so as to get 30 liters of a mixture of water and 10% lemon juice.

Explanation:
Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.
Since Manuel wants to produce a 30 liters mixture from 8% lemon juice and 20% lemon juice, hence:
x+y=30 (1).
Also, Manuel wants 30 liters of a mixture of water and 10% lemon juice, hence:
8% of x+20% of y=10% of 30 liters;
0.08x+0.2y= 3 (2).
Solving equation 1 and 2 simultaneously; multiply equation 1 by 0.2 and subtract equation 2 from the result:
0.12x = 3;
x = 25 liters.
x + y = 30;
25 + y = 30;
y = 5 liters.
Manuel needs 20 liters of the 8% and 5 liters of 20% mixture.
Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
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P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
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P Answered by PhD

The solution is given in the image below

The solution is given in the image below
Mathematics
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P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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