Answer:
105
Step-by-step explanation:
500 goes into 100, 5 times
21 times 5 is 105
So 21/100 is equal to 105/500
Or you can do
500*0.21=105
1.5 quarts of 20% fruit juice and 4.5 quarts of 100% fruit juice.
Step-by-step explanation:
Let x be the number of quarts of 100% fruit juice
Let y be the number of quarts of 20% fruit juice
The equation for amount of quarts is ;
x+y=6
x=6-y-------------------equation 1
The equation for the amount of quarts of fruit juice to get 80% fruit juice will be;
x(100%)+y(20%)=80%------however you need to make 6 quarts so divide first portion of equation by 6
{x(100%)+y(20%) }/6=80%
Multiply both parts of the equations by 6
x(100%)+y(20%)=480% --------------equation 2
Use equation 1 in 2
(6-y)(100%)+y(20%)=480%
600-100y+20y=480
600-80y=480
600-480=80y
120=80y
120/80 =y
1.5=y
Use the value of y in equation 1
x=6-y , x= 6-1.5=4.5
So you have,
1.5 quarts of 20% fruit juice and 4.5 quarts of 100% fruit juice.
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Mixtures equations;brainly.com/question/11898822
Keywords : quarts,party,bottles,punch
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Answer:
1) (x, y) = (1, 8)
2) (x, y) =<em>(-2, -4)</em>
3) (x, y) = (3, -1)
Step-by-step explanation:
1) Given the equations;
7x+2y =23 .... 1
6x+y= 14 .... 2
From 2; y = 14-6x
Substitute into 1;
From 1; 7x+2y =23
7x + 2(14-6x) = 23
7x + 28 - 12x = 23
-5x = 23 - 28
-5x = -5
x = 5/5
x = 1
Substitute x = 1 into y = 14-6x
y = 14 - 6 (1)
y - 14 - 6
y = 8
Hence (x, y) = (1, 8)
2) Given
y=-4
y=-3x-10
We will simply equate bith expression and get x;
-3x - 10 = -4
-3x = -4 + 10
-3x = 6
x = 6/-3
x = -2
<em>Hence the solution is (-2, -4)</em>
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3) Given the equation
y=-3x+8
y=5x-16
Equate both expressions;
-3x + 8 = 5x - 16
-3x - 5x = -16 - 8
-8x = -24
x = 24/8
x = 3
Substitute x = 3 into y=-3x+8
y = -3(3) + 8
y = -9 + 8
y = -1
Hence the solution (x, y) = (3, -1)
