Dianne spends 40% of her net income onrent and 15% of her net income on food. Ifshe spends a total of $1375 per month onrent and food, what is her net monthlyincome?
Question
Dianne spends 40% of her net income onrent and 15% of her net income on food. Ifshe spends a total of $1375 per month onrent and food, what is her net monthlyincome?
Solution
Let's denote Dianne's net monthly income as .
According to the problem, Dianne spends 40% of her net income on rent and 15% on food. Therefore, the total amount she spends on rent and food can be expressed as:
We know that this total amount is $1375. So, we can set up the following equation:
Combining the terms on the left side, we get:
To find , we need to divide both sides of the equation by 0.55:
Now, let's perform the division:
Therefore, Dianne's net monthly income is $2500.
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