Question

Lily receives more daily allowance than her brother. The difference in their pocket money is $8 and 2/3 of lily's allowance is $2 more than what her brother gets. Find her brother's daily allowance

Answer 1

Answer:

Daily allowance of Lily's brother is approximately $10.

Step-by-step explanation:

Let L represents Lily's daily allowance and let B represents her brother's daily allowance, we can therefore obtain the following from the question:

L - B = $8 ........................ (1)  => Indicating the difference in their pocket money

(2/3)L = B + $2 ..................... (2) => Indicating Lily's allowance is $2 more than what her brother gets

From equation (1), we find L as follows:

L = $8 + B ...................................... (3)

Substituting L from equation (3) into equation (2) and solve for B as follows:

(2/3)($8 + B) = B + $2

0.67($8 + B) = B + $2

$5.36 + 0.67B = B + $2

$5.36 - $2 = B - 0.67B

$3.36 = 0.33B

B = $3.36 / 0.33

B = 10.18, or $10 approximately.

Therefore, daily allowance of Lily's brother is approximately $10.

Confirmation Note:

Note that this is not part of the answer to the question. It is just meant to assist you in having a deeper understanding of the question and the answer.

The above answer can be confirmed as follows:

Substituting B = $10 into equation (3), we have:

L = $8 + $10 = $18

This implies that Lily's daily allowance is $18.

Substituting for L = $18 and B = $10 into equation (1), we have:

$18 - $10 = $8 => this confirms that the difference in their pocket money is $8.

Also, substituting for L = $18 and B = $10 into equation (2), we have:

(2/3)18 = 10 + $2 => 12 = 12 => since 12 minus 10 is equal to $2, this confirms that 2/3 of lily's allowance is $2 more than what her brother gets.