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?

$312

Step-by-step explanation:

Now, what we need to know is the cost of a melon since we know the cost of a bread fruit to be 8 yen.

What the question is simply saying is that the cost of 9 breadfruits and 10 melon equals the cost of 3 breadfruits and 12 melons.

To get her income per day, we need to get the amount she buys each melon. Let this amount be x yen.

Mathematically: 9(8 yen) + 10(x yen) = 3(8 yen) + 12(x yen)

Opening the brackets: 72 + 10x = 24 + 12x

48 = 2x , x = 24 yen

Her total daily income is thus 9(8) + 10(24) = 72 + 240 = $312

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are