Question

7. Ger and Amy are planting tulips. Ger has planted 60 tulips already and is planting more at arate of 44 tulips per hour. Amy has planted 96 tulips already and is planting more at a rate of 32per hour.a. After how many hours, h, will Ger and Amy have planted the same number of tulips? (4 pts)b. How many tulips will that be?

Answer 1

We know that

• Ger has planted 60 tulips.

,

• Ger's rate is 44 tulips per hour.

,

• Amy has planted 96 tulips.

,

• Amy's rate is 32 tulips per hour.

(a)

Based on the given information, we can express the following equation.

`60+44h=96+32h`

We solve for h.-

`\begin{gathered} 44h-32h=96-60 \\ 12h=36 \\ h=(36)/(12) \\ h=3 \end{gathered}`

Therefore, after 3 hours they will have the same number of tulips planted.

(b)

To find the number of tulips after three hours, we just have to replace the value in one equation.

`60+44h=60+44(3)=60+132=192`

Therefore, after 3 hours, the number of tulips planted is 192.