Question

Ranny is buying presents for members of his family. He wants to spend $10 less on his brother than he spends on his sister, and six dollars more than twice the amount he spends on his sister on his mother. If Ranny has $100 to spend, how much does he intend to spend on his brother?

Answer 1

Ranny plans to spend $16 on his brother's present, calculated by setting up an equation that includes the spend on his sister and mother, and solving it while adhering to the $100 budget constraint.

Step-by-step explanation:

Ranny is planning how much to spend on presents for his family members, with a budget constraint of $100. He knows he wants to spend $10 less on his brother than what he spends on his sister, and he plans to spend six dollars more than twice what he spends on his sister on his mother. We can take the amount Ranny plans to spend on his sister as $x.

Therefore, Ranny will spend $(x - 10) on his brother. The spending on his mother will be $(2x + 6). Given the total amount to spend is $100, we can write an equation to represent the total spending:

Total spending = Cost for sister + Cost for brother + Cost for mother

Substituting the expressions for the brother and mother's presents, we get:

$100 = x + (x - 10) + (2x + 6)

Simplifying the equation, we get:

$100 = 4x - 4

Adding 4 to both sides and then dividing by 4, we find:

x = $26

Therefore, the amount Ranny intends to spend on his brother is $(26 - 10) = $16.