Paulo has $6 to spend. A sundae costs $3.25 plus $0.65 per topping. Write and solve an inequality to find how many toppings he can order.
Let n=max. number of toppings he can afford,
then
3.25*0.65n≤6.00
Solve for n.
Let's assume Paulo can order 'x' toppings. The cost of each topping is $0.65. Therefore, the total cost of toppings can be expressed as 0.65x. In addition, he also needs to pay $3.25 for the sundae itself. Hence, the inequality can be written as:
3.25 + 0.65x ≤ 6
Now, let's solve the inequality:
3.25 + 0.65x ≤ 6
0.65x ≤ 6 - 3.25
0.65x ≤ 2.75
x ≤ 2.75 / 0.65
x ≤ 4.23 (rounded to two decimal places)
Therefore, Paulo can order up to 4 toppings with $6.
To find out how many toppings Paulo can order, we need to write and solve an inequality.
Let's assume x represents the number of toppings Paulo can order.
The cost of the sundae is $3.25, and for each topping, it costs an additional $0.65. So, the total cost of toppings will be 0.65x.
Given that Paulo has $6 to spend, the inequality can be written as:
3.25 + 0.65x ≤ 6
To solve the inequality, we first subtract 3.25 from both sides to isolate the variable:
0.65x ≤ 2.75
Then divide both sides by 0.65 to solve for x:
x ≤ 2.75 / 0.65
Using a calculator, the result is x ≤ 4.23 (approximately).
Therefore, Paulo can order a maximum of 4 toppings with his $6 budget.