The number of red balls is twice the number of blue balls. The number of blue balls is 10 more than the number of green balls. The total number of balls is 142. The cost of each red ball is $2.50 and the cost of each green ball is $1.50. The total cost of all the balls is $251. Question 1) Find the number of green balls. Question 2) Find the cost of a blue ball.
Answers
Answer:
i)Green balls=28
ii)Cost of each blue ball=$0.50
Step-by-step explanation:
Let the no of green balls=x
Acc to question;
Blue balls=x+10
Red balls=2(x+10)=2x+20
Now,
i) x+x+10+2x+20=142
4x+30=142
4x=142-30
4x=112
x=112/4
x=28
ii) No of blue balls=x+10
=28+10
=38
No of red balls= 2(38)
=76
Total cost of red balls=$2.50(76)
=$190
Total cost of green balls=$1.50(28)
=$42
acc to question;
42+190+total cost of blue balls=251
232+total cost of blue balls=251
total cost of blue balls=251-232
total cost of blue balls=$19
Cost of each blue ball=19/38
=$0.50
Step-by-step explanation:
Green ball = c
blue ball = b= c +10
red ball =a= 2 (c +10)
from given condition
c+c+10+2c+20=142
4c+30=142
4c=142-30=112
c=112/4 =28
no.of balls
b =c+10 =28+10=38
a=2(c+10)
a= 2(38) =76
cost of balls
a =76*2.50= $190
c =28*1.50=$42
total cost =a+b+c
251=190+42+b
251=232+b
251-232=b
$19=b
1) 28 balls
2) $ 19