Terry has between 50 and 100 pennies and her piggy bank. She can count them two at a time and come out even. She can also count them three and five at a time and come out even. She cannot count them 4 at a time and come out even. How many pennies does she have?

First change them to improper fractions

3 3/5 + y + 5 2/3 = 15

3 3/5 = 18/5

5 2/3 = 17/3

now find the common denominator which would be  3 × 5 = 15

18/5 =  54/15

17/3 =  85/15

now add

(54 + 85) = 139/15

now divide

139 ÷ 15 = 9 4/15

now we need to find the missing factor

15 is our total, so now we have to subtract

15 - 9 4/15

change to improper fractions

15/1 − 139/15=

((15 × 15) − (139 × 1)) / (1 × 15) =

 (225 - 139) / 15=

86/15

now divide

86 ÷ 15 = 5 11/15

Your answer is B.  5 11/15

Hope this helps. :)

Answer:

-10

Step-by-step explanation:

Answer:

432 people on Friday and 658 on Saturday

Step-by-step explanation:

Lets use variables for each day

x=Friday and y=Saturday

now write two equations since you were given two different information (money and people)

$6 on Friday and $8 on Saturday with a total amount of $7856

the equation will be 6x+8y=7856

now the second equation will be for people

x amount of people on Friday and y amount of people on saturday for a total of 1090; the equation will be

x+y=1090

put them together

6x+8y=7856

x+y=1090

now you can cancel a variable but manipulating one of the equations. We'll use x, to cancel x you need make it zero so multiply the bottom by -6

6x+8y=7856

-6(x+y=1090)

6x+8y=7856                   now subtract downwards, with the x cancelling

-6x-6y=-6540

2y=1316                          simplify

(2y/2)=(1316/2)              

y=658

                                       insert y into x+y=1090

x+(658)=1090

    -658   -658

x=432