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If she spends all of her income on uglifruits and breadfruits, Maria can just afford 11 uglifruits and 4 breadfruits per day. She could also use her entire budget to buy 3 uglifruits and 8 breadfruits per day. The price of uglifruits is 6 pesos each. How much is Maria's income per day?

(a) 115 pesos;
(b) 105 pesos;
(c) 114 pesos;
(d) 119 pesos;
(e) None of the above.

Respuesta :

Answer:

(c) 114 pesos; 

Explanation:

Let u = price of uglifruits and b = breadfruits

Her budget constraints are :

11u + 4b = income

3u + 8b = income

Equate both equations together since they're both equal to income.

11u + 4b = 3u + 8b

U = 6 pesos

66 +4b = 18 +8b

48 = 4b

b = 12 pesos

Replace the price for and breadfruits into the initial equation to derive income

66 + 48 = 114 pesos

I hope my answer helps you