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I have two math problems?

The table shows the type and number of pieces of each of the first 20 fruit sales at a store. Predict how many oranges will be sold if a total of 120 pieces of fruit are sold apple 4 pear 8 orange 5 peach 3
The table shows the colors and number of marbles of the first 15 marbles sold at a store. Predict how many blue marbles will be sold if a total of 80 marbles white 1 blue 6 green 3 orange 5

carmen has nine buttons with funny sayings. She would like to put some funny buttons on her backpack,but there is room for only two. What is the greatest number of different ways she can select two buttons to put on her backpack.

Barbara has a 30-inch necklace she wants to have cut into 5 bracelets . A jeweler charges $2 for each cut. How much does Barbara need to pay for the cuts /

(1)

The ratio of apples (Ap) to pears (Pr) to oranges (Or) to peaches (Pe) is:

Ap : Pr : Or : Pe = 4 : 8 : 5 : 3

If 120 pieces of fruit are sold, the ratios above (which were based on 20 pieces of fruit) are multiplied by 6:

Apples = 24
Pears = 48
Oranges = 30
Peaches = 18

(2)

The ratio of white (W) to blue (B) to green (G) to orange (O) is:

W : B : G : O = 1 : 6 : 3 : 5

If 80 marbles are sold, the ratios above (which were based on 15 marbles) are multiplied by (80/15 or 16/3):

White = 16/3 = 5.33 ~ 5
Blue = 96/3 = 32
Green = 48/3 = 16
Orange = 80/3 = 26.66 ~ 27

(3)

To find out the number of ways 2 items can be chosen from 9, using the formula for combinations:

n C r = n! / (n – r)! r! where n = the total number of choices and r = the number chosen

9 C 2 = 9! / (7!)(2!) = 36

So, there are 36 different ways to select 2 of 9 buttons to put on her backpack.

(4)

To get 5 bracelets from a 30″ necklace (assuming they will be about the same length), the jeweler will need to make 4 cuts. So, Barbara will have to pay $8.

Hope this helps…good luck!

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