You spend #1/2# of your allowance each week on school lunches. Each lunch cost $1.25. How much is your weekly allowance?

Question

Levi Adams · Accepted Answer

#$2.50#

If you spend #1/2# of your allowance each week on school lunches, keep in mind first that #1/2+1/2=1#. One of those #1/2# is the $1.25 for school lunches. Which means that we have another $1.25 that we get to do something else with.

All told, our weekly allowance is:

#$1.25+$1.25=$2.50#

Zoe Adams · Answer

undefined To find your weekly allowance:

1. Let $ x $ be your weekly allowance.
2. You spend $ \frac{1}{2} $ of your allowance on school lunches, which is $ \frac{1}{2}x $.
3. Since each lunch costs $1.25, you spend $ \frac{1}{2}x $ on lunches, which equals $ 1.25 \times \frac{1}{2}x $.
4. Setting this equal to your allowance, we have the equation: $ 1.25 \times \frac{1}{2}x = x $.
5. Solve for $ x $ to find your weekly allowance.

$$ 1.25 \times \frac{1}{2}x = x $$

$$ 0.625x = x $$

$$ 0.625x - x = 0 $$

$$ -0.375x = 0 $$

$$ x = 0 $$

So, your weekly allowance is $0. However, this result seems incorrect. Let's reevaluate the problem.

Given that you spend $ \frac{1}{2} $ of your allowance, which we'll denote as $ x $, on school lunches, and each lunch costs $1.25:

1. $ \frac{1}{2}x $ is spent on lunches weekly.
2. Since $ \frac{1}{2}x $ equals the cost of the lunches, we have: $ \frac{1}{2}x = 1.25 $.
3. Solve for $ x $ to find your weekly allowance.

$$ \frac{1}{2}x = 1.25 $$

$$ x = 1.25 \times 2 $$

$$ x = 2.50 $$

Thus, your weekly allowance is $2.50.