If she spends all of her income on breadfruits and melons, Natalie can just afford 9 breadfruits and 10 melons per day

Economics Mar 08, 2021

If she spends all of her income on breadfruits and melons, Natalie can just afford 9 breadfruits and 10 melons per day. She could also use her entire budget to buy 3 breadfruits and 12 melons per day. The price of breadfruits is 8 yen each. How much is Natalie's income per day?

a.312

b.317

c.322

d.313

Expert Solution

Computation of Natalie's Income per Day:

Let the price of melons be x.

Price of Breadfruits = 8 yen

Total Income spent in 1st way = 9 breadfruits * 8 yen + 10 melons * x = 72 + 10x

Total Income in 2nd way = 3 breadfruits * 8 yen + 12 melons * x = 24 + 12x

Now we will equate both of them equally:

72 + 10x = 24 + 12x

72 - 24 = 12x - 10x

48 = 2x

x = 48 / 2 = 24

Total Income per Say = 72 + 10x = 72 + 10 * 24 = 72 + 240 = 312 yen

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