Question

Mr. Macho, my Great Dane, ate 125 hot dogs over a five day period. Each day he ate seven more hotdogs than on the previous day. How many hot dogs did he eat on the first day?

can yall show me how find it

Answer 1

12 hot dogs on the first day

Explanation:

28+21+14+7=70

125-70=55

55/5=11

Answer 2

Explanation:

Let's call the number of hot dogs Mr. Macho ate on the first day "h". On the second day, he ate h + 7 hot dogs, on the third day he ate h + 7 + 7 = h + 14 hot dogs, and so on. After five days, the total number of hot dogs he ate would be h + (h + 7) + (h + 14) + ... + (h + 28) = 125 hot dogs.

Expanding the expression for the total number of hot dogs, we get:

5h + 28 + 21 + 14 + 7 = 125

Solving for h:

5h = 75

h = 15

Therefore, Mr. Macho ate 15 hot dogs on the first day.