Question

A party mix is made by adding nuts that sell for ​$2.502.50 per kg to a cereal mixture that sells for ​$11 per kg. How much of each should be added to obtain 6060 kg of a mix that will sell for ​$2.102.10 per​ kg

Answer 1

N = 44 kg

C = 60- 44 = 16 kg

Step-by-step explanation:

given,

cost of nuts = ​$2.50 per kg

cost of cereal mixture = ​$1 per kg

so the mix price should be = $ 2.10

total amount of added weight = 60kg

N + C = 60 kg

now

N × 2.50 + C × 1 = 60 × 2.10

N × 2.50 + (60-N) × 1 = 126

1.5 N = 126-60

N = 44 kg

C = 60- 44 = 16 kg