A group of 48 ants have food for 16 days but 12 ants died after 4 days due to rain. For how many days the remaining food will be enough. solve proportion
Well, considering that ants typically carry 50 times their body weight, I'd say these 48 ants probably had enough food to feed an entire circus! But alas, the rain decided to play its part in this little ant adventure. Now, let's do some math.
We started with 48 ants and enough food to last for 16 days. That means each ant's share of the food would last for 1/48th of 16 days, which is roughly 1/768th of 1 day.
Unfortunately, the rain took away 12 ants after just 4 days. So, we've got some recalculating to do. We started with 48 ants, but now we only have 36.
To figure out how long the remaining food will last, we divide the number of ants by the number of days it originally lasted. So, we have 36 ants and the original food supply lasting for 16 days. Using some good old proportions, we can go:
48 ants : 16 days = 36 ants : x days
Cross-multiplying, we get:
48x = 36 * 16
48x = 576
x = 576 / 48
x = 12
So, the remaining food will last for 12 days with the remaining 36 ants.
But hey, who needs math when we can just send in the clown ants to entertain everyone and distract them from their hunger?
To solve this proportion, we'll set up the equation:
(48 - 12) ants : X days = 48 ants : 16 days
Simplifying this equation, we have:
36 ants : X days = 48 ants : 16 days
Cross-multiplying to solve for X:
36 * 16 = 48 * X
576 = 48X
Dividing both sides by 48:
12 = X
X represents the number of days the remaining food will be enough for the remaining ants. Therefore, the remaining food will be enough for 12 days.
To solve this problem using a proportion, we can set up the equation:
(48 - 12) ants / 48 ants = 16 days / x days
Simplifying this equation, we have:
36 ants / 48 ants = 16 days / x days
To find x, we can cross-multiply and solve for it:
36 ants * x days = 48 ants * 16 days
36x = 48 * 16
Now, we can calculate the value of x:
36x = 768
Dividing both sides by 36:
x = 768 / 36
x = 21.33
Therefore, the remaining food will be enough for approximately 21.33 days.
initial food = 48*16 = 768 ant-days
food use in 4 days = 48*4 = 192 ant-days
the remaining food will last 576/36 = 16 days
48 * 16 = 768
768 - 48 = 720
720 / 36 = 20
Therefore 20 days?