A bag cantain 50 p, 25 p and 10p coins inthe ratio 5:9:4:amongting to Rs .206. find the number of coins of each
Answers
Answer:
Let the rational between the number of coins be y
Thus, the number of 50p, 25p and 10p coins will be 5y, 9y and 4y
Total value of 50 p coin = value of one coin × number of coins
= Rs 0.50 × 5y = Rs 2.50y
Similarly, total value of 25p coin
= Rs 0.25 × 9y = Rs 2.25y
And total value of 10p coins
= Rs 0.10 × 4y = Rs 0.40y
Total values of all coins put together
= Rs (2.50y + 2.25y + 0.40y) = Rs 5.15y
According to the statement, the total value of all coins is Rs 206
Hence, 5.15y = 206
y = 206/ 5.15
y = 40
The rational is 40
The ratio of 50 p coin is 2.50y, thus
= 2.50 × 40= 100
The ratio of 25 p coin is 2.25y, thus
= 2.25 × 40 = 90
The ratio of 10 p coin is 0.40y, thus
= 0.40 × 40 = 16
Number of 50 p coin = 100/0.50 = 200 Nos.
Number of 25p coin = 90/0.25 = 360 Nos.
Number of 10p coin = 16 /0.10= 160 Nos
Step-by-step explanation:
Hope it helps you.
Step-by-step explanation:
50,25,10p coins ratio=5:9:4
Number 50p coins equals to 5 x
number of 25p coins equals to 9X
number of 10p coins equal to 4x
total amount equal to 206 rupees= 20600 p
5x*50+9x*25+4x *10=20600
250x+225x+40x=20600
515x=20600
x=20600/515=40
Number 50p coins equals to 5 x=5*40=200
number of 25p coins equals to 9X=9*40=360
number of 10p coins equal to 4x=4*40=160