Question

On Monday Godswill ate some grapes. On Tuesday he

was hungrier, so he ate 6 more grapes than he had on
Monday. Each day that week, he ate 6 more grapes than the day before. On Friday AFTER he ate his grapes, he realized he had eaten a TOTAL of 100 grapes this week. How many grapes did he eat on Monday? Show all your work and explain how you arrived at your answer.

Answer 1

For this case we have to:

Let "x" be the variable that represents the number of grapes Godswill ate on Monday, so we have:

• Monday:
  `x`

• Tuesday:
  `x + 6`

• Wednesday:
  `(x + 6) + 6 = x + 12`

• Thursday
  `: [(x + 6) +6] + 6 = x + 18`

• Friday:
  `{[(x + 6) +6] +6} + 6 = x + 24`

Finally we have the following expression:

`x + x + 6 + x + 12 + x + 18 + x + 24 = 100`

We add similar terms:

`5x + (6 + 12 + 18 + 24) = 100\\5x + 60 = 100\\5x = 100-60\\5x = 40\\x = \frac {40} {5}\\x = 8`

So, on Monday he ate 8 grapes

Answer:

On Monday he ate 8 grapes.

Answer 2

Answer: He ate 8 grapes on Monday.

Explanation:

Let be "x" the number of grapes Godswill ate on Monday.

You know that he ate 6 more grapes than he had on Monday. This can be expressed with:

`x+6`

Since each day that week, he ate 6 more grapes than the day before and he realized on Friday he had eaten a total of 100 grapes this week, you can write the following expression and solve for "x":

`x+(x+6)+(x+12)+(x+18)+(x+24)=100\\\\5x+60=100\\\\x=(40)/(5)\\\\x=8`