A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix that will sell for $1.40 per kg?

1. The amount of nuts is _kg and cereal mixture is _ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.

44kg of cereal, 16kg of nuts

Step-by-step explanation:

Step 1. We work out how much the party mix would cost if all of it was nuts.

$2.50 x 60kg = $150

Step 2. We work out how much we want the party mix to cost if it had the correct ratio of nuts and cereal.

$1.40 x 60kg = $84

Step 3. We work out the difference between the two above numbers.

$150 - $84 =$66

Step 4. We work out the difference between the nut mix and the cereal mix.

$2.50 - $1 = $1.50

Step 5. We divide the answer to step 3 ($66) by the difference between the nut mix and cereal mix.

$66 ÷ $1.50 = 44

Step 6. The answer to step 5 is the mass of the cereal mix. We then minus 44kg from the total mix mass of 60kg to get the mass of the nut mix.

60kg - 44kg = 16kg

Step 7. We double check.

44kg of cereal = $44          16kg of nuts = $40           $44 + $40 = $84    

$84 ÷ 60kg = $1.4 per kg

Hope this helped!

Bluey :)