please help me write an inequality for this paragraph.
Brandon and Rayna have $40 to spent at the concert and would like to purchase some souvenir programs for friends who cannot attend. They are able to buy pr0grams at $8 each, but want to keep $10 for food. How many programs can they buy?
Please help and explain so i can understand. Thank you! :)
10 + 8n < 40
8n < 40 - 10
8n < 30
n < 30/8
n < 3.75
Ok thank you very much! :)
You're very welcome.
To write an inequality for this scenario, let's define the variables:
Let x represent the number of souvenir programs they can buy.
Since they have $40 to spend and they want to keep $10 for food, the amount they can spend on programs is $40 - $10 = $30.
The cost of each program is $8, so the total cost of x programs would be 8x.
To find the inequality, we can write:
8x ≤ 30
This inequality states that the total cost of the programs (8x) should be less than or equal to $30.
To understand this, imagine that they are buying x programs, each program costing $8. The total cost of the programs ("8x") should be less than or equal to the $30 they have available to spend.
By solving this inequality, you will find the maximum number of programs (x) they can buy while staying within their budget.