Question

Bob's Bagels offers pre-paid cards and has the specials shown. Carol has a $50 card she uses to buy coffee and a bagel each week. Diego has a $60 card he uses to buy tea and a breakfast sandwich each week. Write and solve an inequality to find the number of weeks in which the balance on Carol's card will be greater than the balance on Diego's card.

Answer 1

To find the number of weeks in which the balance on Carol's card will be greater than the balance on Diego's card, we can set up an inequality and solve for the number of weeks.

Step-by-step explanation:

To find the number of weeks in which the balance on Carol's card will be greater than the balance on Diego's card, we can set up an inequality. Let's assume the number of weeks is represented by 'w'.

For Carol, the weekly cost is $2 for coffee and $2 for a bagel. So the cost equation would be: 2w + 2w = 2w.

For Diego, the weekly cost is $0.50 for tea and $3 for a breakfast sandwich. So the cost equation would be: 0.50w + 3w = 3.50w.

To find the number of weeks where Carol's balance is greater than Diego's, we set up the inequality: 2w > 3.50w. Solving this inequality, we find that Carol's balance will be greater than Diego's when w < 14.

Answer 2

50-3W ≤ 60-5w

Number of week = 5 days

Step-by-step explanation:

Given:

Carlo card = $50

Diego card = $60

Note:

Coffee and Bagel = $3

Tea and breakfast sandwich = $5

Computation:

Number of week = W

50-3W ≤ 60-5W

Number of week = 5 days