Question

Question #9a520

Answer 1

See below. One package of crocus bulbs is $15, one package of tulips is $4.

Explanation:

We will let `c` denote the price of a package of crocus bulbs, and `t` denote the price of a package of tulip bulbs. From Danielle's sale, we are given:

`4t+4c = $76` (E1)

And from Heather...

`1t+11c=169` (E2)

To solve this system of equations, we can either perform the operation `E1-4E2`, or `E2-(1/4)E1`. This latter will prove to be easier. Thus...

`1/4 E1 -> 1/4(4t+4c) = 1/4(76) -> t+c=19`

`E2-1/4E1 -> (1t+11c)-(t+c)=(169-19) -> 10c = 150 -> c = $15`

Then plugging back into our `1/4 E1` equation...

`t+c=19 -> t+15=19 -> t = $4`

Double check these in both equations...

`E1 -> 4(4)+4(15) = 16+60 = $76`
`E2 -> 1(4)+11(15) = 4 + 165 = $169`