Which inequality sign would you use to describe the relationship between the cost of the items and the amount of money Benito can spend?
4
Practice makes perfect
We are told that Benito has $6 to spend. Therefore, the total cost must be less than or equal to $6. To show this, we will use a non-strictinequality.
Total cost≤ 6
Let x represent the number of toppings Benito can order. The product of x and the price of a single topping, $0.65, is the cost of the toppings. We also know that the cost of a sundae without any extra toppings is $3.25.
Cost of the sundae:& 3.25
Cost of the toppings:& 0.65x
The total cost will be the sum of the two costs stated above.
Total spent≤ 6
⇕
3.25+ 0.65x ≤ 6
Finally, let's calculate the greatest number of toppings Benito can buy. To do so, we will solve the inequality for x.
The greatest number of toppings Benito can buy is approximately 4.23. Since he cannot buy a fraction of a topping, we have to round this number down to the nearest whole number, 4. Therefore, the greatest number of toppings Benito can buy is 4.
