Zootopia's Farmers Market: Algebra for Economics - Linear Equations

Zootopia Farmer's Market: Linear Equations
Practice Problems - Combining Like Terms

A Farmer’s Market store shipment involves shipments of fruits that all total to
1 2
$47. 50. Each pack in the double shipment order has 3
of a grapefruit and 6
of a
7
pineapple and each pack in the triple shipment order is 2
of oranges each having a
shipment fee of $4. What is the price for every whole amount of each fruit that is
shipped?


1
Each pack in the double shipment order has 3
of a grapefruit
2
and 6
of a pineapple.


2 ( 1
3
𝑎 +
2
6
𝑎 )
7
Each pack in the triple shipment order is 2
of oranges with a
shipment fee of $4.

3 ( 7
2
𝑎 + 4 )

, All shipment expenses total to $47. 50.



2 ( 1
3
𝑎+
2
6 )
𝑎 +3 ( 7
2 )
𝑎 + 4 = $47. 50


2 (2*2
3*2
𝑎 +) 21
2
𝑎 + 12 = $47. 50
4 21
3
𝑎 + 2
𝑎 + 12 = $47. 50
4*2 21*3
3*2
𝑎 + 2*3
+ 12 = $47. 50
8 63
6
𝑎 + 6
𝑎 + 12 = $47. 50
71
6
𝑎 + 12 = $47. 50
71
6
𝑎 = $35. 50
71𝑎 = $213
𝑎=3

The price for the whole amount of each
fruit that is shipped is $3.


A delivery to a store on Rainforest Avenue is coming in 2 orders. The
4-Pack order has 5 containers of grapes and 3 containers of strawberries,