litter cleanup volunteers form 4 groups containing v volunteers each then 10 more volunteers show up the volunteers regroup into

Question

Cerrena [4.2K]

3 years ago

7

litter cleanup volunteers form 4 groups containing v volunteers each then 10 more volunteers show up the volunteers regroup into

5 groups each containing 6 people how many volunteers were in each original group

Mathematics

2 answers:

charle [14.2K] · Answer 1 · 2022-07-14T12:10:39+03:00

charle [14.2K]3 years ago

8 0

The answer will be 5... :)

m_a_m_a [10] · Answer 2 · 2022-07-14T13:25:51+03:00

Answer: There were 5 volunteers in each original group.

Step-by-step explanation:

Hi to answer this question we have to write equations with the information given:

"Litter cleanup volunteers form 4 groups containing v volunteers each "

x/4 =v (first equation)

Where:

x = initial number of volunteers
v = number of volunteers in each original group

"Then 10 more volunteers show up the volunteers regroup into 5 groups each containing 6 people." So we have to add 10 to the original number of volunteers (x) and divide it by 5 , to obtain 5 groups . That expression equals 6.

Mathematically speaking :

(x+10 )/5 = 6 (second equation)

Solving for x

x/5 +2 =6

x/5= 6-2

x/5= 4

x =4(5)

x = 20

Replacing x in the first equation

20/4 =v =5

There were 5 volunteers in each original group.