Ivy is trying to manage the money she spends on lunch. Between eating out and buying groceries for bagged lunches, she wants to keep her weekly budget to less than $50. She decides that she wants to spend at least twice as much on bagged lunches as at restaurants. What are the monetary choices for Ivy’s lunches?

Let x = amount spent at restaurants, in dollars

Let y = amount spent on groceries, in dollars

Which system models this problem?

x+y

Question

Ivy is trying to manage the money she spends on lunch. Between eating out and buying groceries for bagged lunches, she wants to keep her weekly budget to less than $50. She decides that she wants to spend at least twice as much on bagged lunches as at restaurants. What are the monetary choices for Ivy’s lunches?

Let x = amount spent at restaurants, in dollars

Let y = amount spent on groceries, in dollars

Which system models this problem?

x+y<50
y≥2x

x+y≤50
y≥2x

x+y≤50
y≤2x