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aembeli jeruk dan mangga Gerobag buahnya hanya memuat 
80kg sedangkan harga 
1kg kan dibeli berturut - turut adalah 
×kg dan 
ykg maka model matematika permasalahar ersebut adalah.

aembeli jeruk dan mangga Gerobag buahnya hanya memuat 80 kg 80 \mathrm{~kg} sedangkan harga 1 kg 1 \mathrm{~kg} kan dibeli berturut - turut adalah ×kg \times \mathrm{kg} dan y kg y \mathrm{~kg} maka model matematika permasalahar ersebut adalah.

Full solution

Q. aembeli jeruk dan mangga Gerobag buahnya hanya memuat 80 kg 80 \mathrm{~kg} sedangkan harga 1 kg 1 \mathrm{~kg} kan dibeli berturut - turut adalah ×kg \times \mathrm{kg} dan y kg y \mathrm{~kg} maka model matematika permasalahar ersebut adalah.
  1. Identify Total Weight: Identify the total weight the cart can carry and the weight of oranges and mangoes bought.\newlineLet the weight of oranges be 'aa' kg and the weight of mangoes be 'bb' kg.\newlineThe cart can carry a total of 8080 kg.
  2. Set Up Equation: Set up the equation for the total weight. a+b=80a + b = 80
  3. Identify Cost Per Kg: Identify the cost of oranges and mangoes per kg. The cost of 1kg1\,\text{kg} of oranges is xx, and the cost of 1kg1\,\text{kg} of mangoes is yy.
  4. Set Up Cost Equation: Set up the equation for the total cost. The total cost is the sum of the cost of oranges and the cost of mangoes. Total cost = ax+byax + by
  5. Combine Equations: Combine the equations to form the mathematical model.\newlineThe model includes the weight equation and the cost equation.\newlineMathematical model: {a+b=80,Total cost=ax+by}\{a + b = 80, \text{Total cost} = ax + by\}

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