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Question

Dan at 5 times as many peanuts as Gloria. Together they ate a total of 96 peanuts. How many peanuts did each person eat?

Answer 1

96/6=16
Dan=80
Gloria=16
..........

Answer 2

1) Use Algebra
Let the number of peanuts Gloria eat be x.
Gloria = x
Dan = 5 times x
= 5x
Total number of peanuts ate (96) = 5x + x
= 6x
No.of peanuts Gloria ate = 96 divide by 6 = 16
No. of Peanuts Dan ate = 96 - 16 OR 96 divide by 6 times 5
= 80

2) Use Ratio
Dan:Gloria
5 : 1
(5+1)units = 6
No.of peanuts Gloria ate = 96 divide by 6 = 16
No. of Peanuts Dan ate = 96 - 16 OR 96 divide by 6 times 5
= 80

Answer 3

Maybe, use model.
Simple.

If you draw a model, you will realise that the model has 6 units.
so, 96 divide the 6 units.
96 divide 6 = 16
Gloria ate 16 peanuts.
To find how mush Dan has eaten,
16 x 5 units.
16 x 5 = 80.
Dan ate 80 peanuts.

Answer 4

let

x = amount of peanuts gloria ate

5x = amount of peanuts Dan ate

96 = amount of peanumd Dan and gloria ate

- - - - - - - -

x + 5x = 96

6x = 96

6x/6 = 96 / 6

x = 96/ 6

x = 16

- - - - - -

gloria ate 16 peanuts

Dan ate 80 peanuts

- - - - - - - - s-

Answer 5

96 divided by 6
= 16
16 x 5 = 80
80 is 5 times as many as 16, which is what Gloria had.
Dan had 80, Gloria had 16. That greedy b--

Answer 6

Let x= the number ate by Dan, and 5x the number ate by Gloria, the x +5x= 96, and x= 16, therefore Dan ate 6, and Gloria ate 80

Answer 7

dan: 5 x
Gloria: x
5x+x=96
6x=96
x= 16
dan: 5*16 =80
Gloria: 16