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danielamadrid79
05.05.2020 •
Mathematics
Frank has twice as many CDs as Vanessa. Lois has 4 less than 2 times as many CDs as Frank. If there is a total of 115 CDs for all 3 people, how many CDs does each person have?
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Ответ:
Frank, Vanessa, Lois have 34, 17, 64 disks respectively
Step-by-step explanation:
In this question, we are to calculate the number of disks each of the 3 has.
Let the number of disks owned by Frank be x
for vanessa, she has half of what frank has and that would be x/2
Lois has 4 less than 2 times what Frank has, that would be 2x - 4
adding the 3, we have a total of 115 disks
This means that;
x + x/2 + (2x-4) = 115
Multiply throughout by 2;
that gives;
2x + x + 4x - 8 = 230
7x -8 = 230
7x = 230+ 8
7x = 238
x = 238/7
x = 34 disks
Frank has 34
Vaness has 34/2 = 17
Lois have 2x - 4 = 2(34) - 4 = 68 - 4 = 64 disks
Ответ:
So Frank has 34 CDs, Vanessa has 17 CD's and Lois has 64 CDs
Step-by-step explanation:
Let's call the amount of CDs that Frank has by 'F', that Vanessa has by 'V' and that Lois has by 'L'. Then, we can write the following equations:
F = 2*V
L = 2*F - 4
F + V + L = 115
If we use the values of F and L in the third equation, we have that:
2*V + V + 2*(2*V) - 4 = 115
7*V = 119
V = 17 CD's
Now we can find F:
F = 2*V = 34 CDs
And then we find L:
L = 2*F - 4 = 68 - 4 = 64 CDs
So Frank has 34 CDs, Vanessa has 17 CD's and Lois has 64 CDs
Ответ:
Yes
Step-by-step explanation:
If you can draw a verticle line through any part and it only crosses the line once it is a function