Question

Lionel plans to spend 1/4 of his month's income on rent, 1/12 on transportation, 1/6 on food, $600 on other expenses, and save $900. How much does he plan to spend on food?

Answer 1

Step-by-step explanation:

let the monthly income be x

therefore money he spends on rent = x/4

money he will spend on transportation = x/12

money he will spend on food = x/6

and $600 on other expenses.

so according to this given conditions, let's form an equation through Which we can find the value of x(his monthly income)

x/4 + x/6 + x/12 + 600 + 900 = x

taking LCM

{3x + 2x + x + (12×1500)}/12 = x

6x + 18000 = 12x

6x = 18000

x = 3000

therefore his monthly income is $3000

now, the amount he will spend on food is x/6

therefore, 3000/6 = $500

he will spend $500 on food

Hope this helps ☺️