2 If she spends all of her income on uglifruits and breadfru

2. 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.

Solution

Option (c).

Let Maria\'s income be M pesos and price of breadfruits be Pb. Then

Total income = Quantity of uglifruits x Price of uglifruits + Quantity of breadfruits x Price of breadfruits

11 x 6 + 4 x Pb = M

66 + 4Pb = M

And,

3 x 6 + 8 x Pb = M

18 + 8Pb = M

Therefore,

66 + 4Pb = 18 + 8Pb

4Pb = 48

Pb = 48/4 = 12 peso

M = 66 + 4b = 66 + (4 x 12) = 66 + 48 = 114 Peso