Question

Andrea bought 1 2/5 pounds of avocados at $4.20 per pound and ​ 2 1/

4 ​pounds of asparagus at $3.80 per pound.

What was her total cost?

Answer 1

$14.43¢

Explanation:

We are given;
`1(2)/(5)` pounds, 1 pound = $4.20 and
`2(1)/(4)` pounds,1 pound = $3.80 that Andrea bought.

Now we need to find her total cost. To do that, we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert
`1(2)/(5)` to a decimal. It is 1.4. Now we can set up a graph.

Avocados

`(4.2)/(1)=(x)/(1.4)`

Switch sides

`(x)/(1.4)=(4.2)/(1)`

Apply rule:
`(a)/(1)=a`

`(x)/(1.4)=4.2`

Multiply both sides by 1.4

`(1.4x)/(1.4)=4.2\cdot \:1.4`

Simplify

`x=5.88`

So, her cost for avocados is $5.88¢

Now we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert
`2(1)/(4)` to a decimal. It is 2.25. Now we can set up a graph.

Asparagus

`(3.8)/(1)=(x)/(2.25)`

Switch sides

`(x)/(2.25)=(3.8)/(1)`

Apply rule :
`(a)/(1)=a`

`(x)/(2.25)=3.8`

Multiply both sides by 2.25

`(2.25x)/(2.25)=3.8\cdot \:2.25`

Simplify

`x=8.55`

So, her cost for asparagus is $8.55¢

Total cost

Now that we have found out how much both of the fruits Andrea bought costs, we need to sum it up (meaning add it) to find the total cost:

$5.88¢ + 8.55¢ =

5.88 + 8.55 = 14.43

Therefore, Andrea's total cost of the fruits is $14.43¢