Question

Dana saved 450 for food for her upcoming vacation. The breakfast was included with their hotel, but lunch and dinner are not. When Dana cooks lunch or dinner it costs on average 10 . When the family goes to a restaurant for lunch or dinner it costs on average 40 . Let c represent meals that Dana cooks and let r represent meals the family goes to restaurants for. Write an inequality to represent the situation.

Answer 1

`10d + 40r \leq 450`

Explanation:

Given

`Savings = 450`

`Dana\ Cooks, d = 10`

`Restaurant, r = 40`

Required

Represent this as an inequality

When Dana cooks;

`Cost\ per\ meal = 10`

`Cost\ per\ d\ meals = d * 10`

`Cost\ per\ d\ meals = 10d`

At Restaurant

`Cost\ per\ meal = 40`

`Cost\ per\ r\ meals = 40 * r`

`Cost\ per\ r\ meals = 40 r`

Add these two results:

`Result = 10d + 40r`

To represent as an inequality, the above result must be less than or equal to Dana's total savings

i.e.

`10d + 40r \leq 450`