Question

a number of boys raised a subscription of rs 450each boy paying 4 times as many 5 paise and again 3 times as many10 paise as there were boys find theire number and the amount each paid

Answer 1

answers in the box.................

Answer 2

Answer:

Number of boys = 30

Amount is rs. 15 per person.

Step-by-step explanation:

Given : A number of boys raised a subscription of rs 450 each boy paying 4 times as many 5 paise and again 3 times as many 10 paise as there were boys

To find:  Their number and the amount each paid.

Solution :

Let there are x boys .

Total amount of subscription is Rs. 450.

Rs into paise

1 rs. = 100 paise

Rs. 450 = 45000 paise

Let p be the paise

4 times as many 5 paise and again 3 times as many 10 paise as there were boys

According to question,

$[(4\times5p\times x)+(3\times10p\times x)]x=45000p$

$[20xp+30xp]x=45000p$

$50x^2p=45000p$

$x^2=900$

$x=30$

Number of boys is 30

Put x =30 to get amount each paid

$=(4\times5\times 30)+(3\times10\times 30)$

$=600+900$

$=1500p$

Convert paise into rs.

Amount is Rs. 15 per boys.