Question

Tammy and Keith each work two part-time jobs in the summer mowing lawns and raking yards. Tammy

Answer 1

Answer:

A) Tammy: 10x + 5y > 200

Keith: 12x + 3y > 180

B) A possible combination is x = 16 and y = 4

Step-by-step explanation:

x: number of lawns they each mow

y: number of yards they each rake

A) Tammy  earns $10 for each lawn she mows and $5 for each yard she rakes, then the total money she earns is computed by:

10x + 5y

She wants to earn more than $200, so her inequality is:

10x + 5y > 200

Keith earns $12 for each lawn he mows and $3 for each yard he rakes. He  wants to earn more than $180. Then, his inequality is:

12x + 3y > 180

B) Keith had met his goal but Tammy did not meet her goal, then:

12x + 3y > 180

10x + 5y < 200

Let's suppose x = 16:

12(16) + 3y > 180

y > (180 - 192)/3

y > -4

10(16) + 5y < 200

y < (200 - 160)/5

y < 8

Then, a possible combination is x = 16 and y = 4