Question

On Monday, Jayla raised $ 30 and Carlos raised $ 50. After that, Jayla raised $ 12 per day and Carlos raised $ 7 per day. After how many days will they have raised the same amount? They will raise the same amount after days. (Only type in the number for your final answer)

Answer 1

4 days

Explanation:

For Jayla:

`Base\ Amount = \$30`

`Additional = \$12` daily

For Carlos:

`Base\ Amount = \$50`

`Additional = \$7` daily

Represent the number of days with d

Jayla's expression can be represented using:

`30 + 12*d`

Carlos' can be represented as:

`50 + 7 * d`

Equate both expressions:

`50 + 7 * d = 30 + 12 * d`

`50 + 7d = 30 + 12d`

Collect Like Terms

`12d - 7d = 50 - 30`

`5d = 20`

Solve for d

`d = 20/5`

`d = 4`