In the red bag, there is a quarter a nickel and in the white bag there is a dollar and a dime. If a coin is taken from each bag, The total amount recorded, and that coin is return to the bag how many different amounts are possible. make a tree diagram to show all the possible outcomes.

Answer 1

There are 6 possible outcomes:

1. Quarter from red bag and dollar from white bag (25 cents + 100 cents = 125 cents)
2. Quarter from red bag and dime from white bag (25 cents + 10 cents = 35 cents)
3. Nickel from red bag and dollar from white bag (5 cents + 100 cents = 105 cents)
4. Nickel from red bag and dime from white bag (5 cents + 10 cents = 15 cents)
5. Quarter from red bag and dime from white bag (25 cents + 10 cents = 35 cents)
6. Nickel from red bag and dollar from white bag (5 cents + 100 cents = 105 cents)

Tree diagram:

```
Red Bag White Bag
\ /
\ /
\ /
quarter dollar (125 cents)
/
/
/
Red Bag White Bag
\ /
\ /
\ /
quarter dime (35 cents)
/
/
/
Red Bag White Bag
\ /
\ /
\ /
nickel dollar (105 cents)
/
/
/
Red Bag White Bag
\ /
\ /
\ /
nickel dime (15 cents)
/
/
/
Red Bag White Bag
\ /
\ /
\ /
quarter dime (35 cents)
/
/
/
Red Bag White Bag
\ /
\ /
\ /
nickel dollar (105 cents)
```

Answer 2

Do it horizontally

Answer 3

Here is the tree diagram shown horizontally:

```
Quarter (Red Bag) Nickel (Red Bag)
/ /
/ /
/ /
Dollar (White Bag) Dime (White Bag)
/ /
/ /
/ /
125 cents 105 cents
\ \
\ \
\ \
Dime (White Bag) Dollar (White Bag)
/ \
/ \
/ \
35 cents 35 cents
```