Question

A candy store is making a mixture of chocolate-coated almonds and chocolate-coated raisins. The

almonds cost $30/kg and the raisins cost $8/kg. The total cost of the mixture is to be $150.
Determine three combinations of almonds and raisins.

Show your work.

Answer 1

To find combinations that total $150, the equation 30A + 8R = 150 is used, where A represents kilograms of almonds at $30/kg and R represents kilograms of raisins at $8/kg. Three combinations are: 4kg almonds and 3.75kg raisins, 3kg almonds and 7.5kg raisins, and 2kg almonds and 11.25kg raisins.

Step-by-step explanation:

To find three combinations of chocolate-coated almonds and chocolate-coated raisins that total $150, we can set up an equation. Let A represent the kilograms of almonds, which cost $30/kg, and R represent the kilograms of raisins, which cost $8/kg. Our equation from the given information is 30A + 8R = 150.

Here are three possible combinations:

1. If we buy 4 kilograms of almonds (4 x $30 = $120) and 3.75 kilograms of raisins (3.75 x $8 = $30), the total cost is $120 + $30 = $150.

2. If we buy 3 kilograms of almonds (3 x $30 = $90) and 7.5 kilograms of raisins (7.5 x $8 = $60), the total cost is $90 + $60 = $150.

3. If we buy 2 kilograms of almonds (2 x $30 = $60) and 11.25 kilograms of raisins (11.25 x $8 = $90), the total cost is $60 + $90 = $150.

These are just a few examples; there are many combinations that would total $150.

Answer 2

Almond , raisins:

(1, 15)

(3, 7.5)

(5, 0)

Step-by-step explanation:

x: almond

y: raisin

30x + 8y = 150

x = 1, y = 15

x = 3 y = 7.5

x = 5, y = 0