mr. macho ate 125 hotdogs over a five day peroid each day he ate seven more hotdogs than the previous day. how many hot dogs did he eat on the first day.
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Study Reiny's response.
first day he ate eleven.
To find out how many hot dogs Mr. Macho ate on the first day, we can use algebra.
Let's assume that on the first day, he ate x hot dogs.
On the second day, he ate seven more hot dogs than the previous day, so he ate x + 7 hot dogs.
On the third day, he ate seven more hot dogs than the second day, so he ate (x + 7) + 7 = x + 14 hot dogs.
Similarly, on the fourth day, he ate (x + 14) + 7 = x + 21 hot dogs.
And on the fifth day, he ate (x + 21) + 7 = x + 28 hot dogs.
Now, we can add up the total number of hot dogs over the five-day period:
x + (x + 7) + (x + 14) + (x + 21) + (x + 28) = 125
Simplifying the equation:
5x + 70 = 125
Subtracting 70 from both sides:
5x = 55
Dividing both sides by 5:
x = 11
Therefore, Mr. Macho ate 11 hot dogs on the first day.