A wild dog swallowed a total of 105 nuts in five days. Eachy he managed to eat eight more than he had on the previous day. How many did he eat on each day?
Answers
Answer:
Day 1: a
Day 2: a + 9
Day 3: a + 2(9)
Day 4: a + 3(9)
Day 5: a + 4(9)
Day 6 (last day): a + 5(9)
200 = a + a+9+a + 2(9) +a + 3(9) + a + 4(9) + a + 5(9)
200 = 6a + 9 + 18 +27 + 36 + 45
200 = 6a + 135
6a = 200 -135
6a = 65
a = 65/6 = 10.83 nuts (The question is faulty, the total nuts supposed to be 201, but not 200).
a = 11 nuts (approximately)
Day 1: 11
Day 2: a + 9 = 11 + 9 = 20 nuts
Day 3: a + 2(9) = 11 + 18 = 29 nuts
Day 4: a + 3(9) = 11 + 27 = 38 nuts
Day 5: a + 4(9) = 11 + 36 = 47 nuts
Day 6 (last day) = 11 + 45 = 56 nuts
To check:
11 + 20 + 29 + 38 + 47 + 56 = 201 nuts (The question is faulty, the total nuts supposed to be 201, but not 200).
Answer:
Day 1: 5 nuts
Day 2: 13 nuts
Day 3: 21 nuts
Day 4: 29 nuts
Day 5: 37 nuts
Step by Step Explanation:
Suppose we use “x” to represent the amount of doggy food he had on the 1st day, then to write the equation we do:
x+x+8+x+16+x+24+x+32=105
5x+80 =105
5x =
105-80
5x =25
x=5
So on day 1 he ate 5 then day 2 he ate 13, day 3 he ate 21, day 4 he ate 29 and day 5 he ate 37 and it equals 105.