Question

Write an inequality to represent this situation. Tony has $15 and saves $1.50 each day. Joan has $55 and spends $4.50 each day. In how many days will Tony have at least as much money as Joan?

Answer 1

To determine the number of days it will take for Tony to have at least as much money as Joan, we can set up an inequality.

Step-by-step explanation:

To determine the number of days it will take for Tony to have at least as much money as Joan, we can set up an inequality. Let's say the number of days is represented by 'd'.:

Tony's total savings can be represented by 15 + 1.50d

Joan's total money can be represented by 55 - 4.50d

So, the inequality becomes:

15 + 1.50d >= 55 - 4.50d

To solve this inequality, we can combine like terms and isolate 'd' on one side:

6d >= 40

d >= 40/6

d >= 20/3

Since we can't have a fraction of a day, we round up to the nearest whole number:

d >= 7

Therefore, it will take Tony at least 7 days to have as much money as Joan.