let
t-tirah collected
n - Naumi collected
m - Maria collected
t = 2n eq1
t = m + 5 eq2
m + n + t = 35
from eq1 solving for n
t = 2n
n = t/2
from eq2 solve for m
t = m + 5
m = t - 5
plug in eq1 and eq2 to eq3
[t - 5 + t/2 + t = 35]
2(t - 5) + t + 2t = 70
2t - 10 + t + 2t = 70
5t - 10 = 70
5t = 70 + 10
5t = 80
t = 16 answer//
solving for Naumi collected
n = t/2 = 16/2 = 8 answer//
Maria collected
m = 16 - 5 = 11 answer//
Therefore Tirah got 16 balls, Naumi got 8 balls, and Maria got 11 balls.
After tennis training,
Tirah collects twice as many balls as Naomi
and 5 more balls than Maria.
They collected 35 balls in total.
How many balls did each girl collect?
t = 2n = m + 5
m = 11, n = 8, t = 16
Maria collects 11balls, Naomi collects 8 balls and
Tirah collects 16 balls.
Choose your variable to stand for one of the people with fewer things. That way you won't need fractions.
n = Naomi's
2n = Tirah's
2n - 5 = Maria
n + 2n + 2n - 5 = 35
5n - 5 = 35
5n = 40
n = 8 then plug in to get the answers.
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Answers & Comments
let
t-tirah collected
n - Naumi collected
m - Maria collected
t = 2n eq1
t = m + 5 eq2
m + n + t = 35
from eq1 solving for n
t = 2n
n = t/2
from eq2 solve for m
t = m + 5
m = t - 5
plug in eq1 and eq2 to eq3
[t - 5 + t/2 + t = 35]
2(t - 5) + t + 2t = 70
2t - 10 + t + 2t = 70
5t - 10 = 70
5t = 70 + 10
5t = 80
t = 16 answer//
solving for Naumi collected
n = t/2 = 16/2 = 8 answer//
Maria collected
m = t - 5
m = 16 - 5 = 11 answer//
Therefore Tirah got 16 balls, Naumi got 8 balls, and Maria got 11 balls.
After tennis training,
Tirah collects twice as many balls as Naomi
and 5 more balls than Maria.
They collected 35 balls in total.
How many balls did each girl collect?
m + n + t = 35
t = 2n = m + 5
m = 11, n = 8, t = 16
Maria collects 11balls, Naomi collects 8 balls and
Tirah collects 16 balls.
Choose your variable to stand for one of the people with fewer things. That way you won't need fractions.
n = Naomi's
2n = Tirah's
2n - 5 = Maria
n + 2n + 2n - 5 = 35
5n - 5 = 35
5n = 40
n = 8 then plug in to get the answers.