Vincent went to a pizza restaurant. A vegetable pizza costs $8 and a chicken pizza costs $12. Find an inequality to determine the number of pizzas he can buy along with one vegetable pizza if he has $140 to spend.
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8 + 12p ≤ 140
Solve for p.
To determine the number of pizzas Vincent can buy along with one vegetable pizza, we need to consider the cost of each pizza and the total amount of money he has. Let's assume he buys v vegetable pizzas and c chicken pizzas.
The cost of a vegetable pizza is $8, so the cost of v vegetable pizzas will be 8v dollars.
The cost of a chicken pizza is $12, so the cost of c chicken pizzas will be 12c dollars.
Vincent has $140 to spend, so the total cost of pizzas he buys should not exceed $140.
Therefore, the inequality to determine the number of pizzas is:
8v + 12c + 8 ≤ 140
The 8 in the inequality represents the cost of the vegetable pizza, 12 represents the cost of the chicken pizza, and 140 represents the total amount of money Vincent has to spend.