Madeleine allows herself $100 per month for purchasing coffee.The diagram below illustrates the choices available to her in each month. FIGURE 1-3
-Refer to Figure 1-3.Which of the following combinations of regular coffees and lattes is affordable over the one-month period,given Madeleine's budget?
A)15 lattes and 30 coffees
B)16 lattes and 16 coffees
C)8 lattes and 50 coffees
D)4 lattes and 66 coffees
E)20 lattes and 80 coffees

Question

Madeleine allows herself $100 per month for purchasing coffee.The diagram below illustrates the choices available to her in each month.  FIGURE 1-3
-Refer to Figure 1-3.Which of the following combinations of regular coffees and lattes is affordable over the one-month period,given Madeleine's budget?
A)15 lattes and 30 coffees 
B)16 lattes and 16 coffees 
C)8 lattes and 50 coffees 
D)4 lattes and 66 coffees 
E)20 lattes and 80 coffees

Quizplus · Accepted Answer

Madeleine's budget is $100 per month. 
One latte costs $7, and one regular coffee costs $2. 
Let the number of lattes Madeleine purchases be L and the number of regular coffees be C. 
The total cost of the lattes and regular coffees in a month is: 
7L + 2C = total cost

To find the affordable combinations, we can set up the following inequality: 
7L + 2C ≤ 100

Using trial and error or algebra, we can find that the only combination that satisfies this inequality is: 
L = 16, C = 16

Therefore, Madeleine can purchase 16 lattes and 16 regular coffees within her budget.

Madeleine Allows Herself $100 Per Month for Purchasing Coffee