Question

Ms.Kitts works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Ms.Kitts sold a total of 110 CDs over 2 weeks. Which system of equations can be used to find /, the number of CDs she sold last week, and t, the number of CDs she sold this week?

Answer 1

Answer:
`\left \{ {{l=3t+6} \atop {l+t=110}} \right.`

Explanation:

Let be "l" the number of CDs Ms.Kitts sold last week, and "t" the number of CDs she sold this week.

You need to remember that:

1. The word "times" indicates a multiplication.

2. The word "more" indicates addition.

Then, the sentence "Last week she sold 6 more than 3 times the number of CDs that she sold this week" can be represented with equation:

`l=3t+6`

According to the information given in the exercise, the sum of the number of CDs Ms. Kitts sold last week and this week is: 110 CDs.

Since a sum is the result an Addition, you can write the following equation:

`l+t=110`

Therefore, the System of equations that can be used to find the number of CDs she sold last week and the number of CDs she sold this week, is:

`\left \{ {{l=3t+6} \atop {l+t=110}} \right.`