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Greg had 1/3 as many calendar to sell as Kenzo. The two friends decided to share the work evenly. To do that, Kenzo gave 10 calendars to Greg. What was the total number of calendars?

 May 12, 2021
 #1
avatar+32833 
+1

g = 1/3 k         This is given in the Q

 

then k gives 10 to g  and they are equal

 

g+10 = k - 10       sub in the red equation

 

1/3 k + 10 = k -10

2/3 k = 20

k = 30      g = 10  originally                  total   40   calendars

 May 12, 2021
 #2
avatar+4 
0

G=(1/3)K
(1/3)K+10=K-10
(2/3)K=20
K=30, after multiplying both sides by the reciprocal 3/2
G=10
The answer is 40 calendars.

jiejxu  May 12, 2021
 #3
avatar+280 
0

Greg had 1/3 as many calendar to sell as Kenzo.
g = 1/3k
Get rid of fraction, multiply by 3
3g = k
The two friends decided to share the work evenly. To do that, Kenzo gave 10 calendars to Greg.
g + 10 = k - 10
g = k - 10 - 10
g = k - 20
replace k with 3g
g = 3g - 20
20 = 3g - g
20 = 2g
g = 20/2
g = 10 calendars
then
k = 3(10)
k = 30 calendars
:
What was the total number of calendars?
10 + 30 = 40

 May 13, 2021

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