jugoslav

Claire jogs 6 miles per hour and Megan jogs 5 miles per hour. They start together at their campsite and jog to an outpost 16 miles away. When Claire gets there, she immediately turns around and heads back towards Megan. How many miles will they be from the outpost when they meet? Express your answer as a mixed number.

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The ratio of Claire's (C) speed to Megan's (M) speed is 6:5

C jogs 16 miles while M jogs 13¹/₃ miles

The difference is 2²/₃ miles

(2²/₃ - M) / M = 6/5           M =  1 ²¹/₉₉

16 - (13 ¹/₃ + 1 ²¹/₉₉) = 1 ⁵/₁₁     

Claire jogged 17 ⁵/₁₁ miles, while Megan jogged 'only' 14 ⁶/₁₁ miles.

(17 ⁵/₁₁ ) / (14 ⁶/₁₁ ) = 6 / 5

m(6+n) = 7*8           m = 56 / (6+n)

n(6+m) = 5*8           m = (40/n) - 6

56 / (6+n) = (40/n) - 6               n = 3 ¹/₃           m = 6

XY = 15 ¹/₃

d => cammon difference

  A     +   B       +      C      = 180

17 + (17 + d) + (17 + 2d) = 180

d = 43

Angle C = 17 + 2d = 103 degrees

Similar triangles.

There were some sweets in Bags A, B and C. Tom moved 1/3 of the sweets in Bag A to Bag B. Later, he moved 2/5 of the sweets in Bag B to Bag C. In the end, each bag contained 36 sweets. Find the ratio of the number of sweets in Bags A, B, and C at first.

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3 * 36 = 108

A = 36 + 1/2(36) = 54

B =>           (B + 18) - 2/5(B + 18) = 36     B = 42

C = 108 - (54 + 42) = 12

54:42:12   =   9 : 7 : 2

https://web2.0calc.com/questions/help_54234#r3

Gopal sells a hot dog bun at $3.30 each and a packet of potato chips at $2.80

each. After selling for a day, he collected $3.70 more from the sale of potato

chips than the sale of hot dog buns. He sold 9 more packets of potato chips than

hot dog buns.

a)   How many hot dog buns did he sell?

b)   How much did he collect from the sale of potato chips?

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Hot dog buns sold => x         Potatoe chips sold => x + 9

2.8(x + 9) - 3.3x = 3.7

x = 43

a/    He sold 43 hot dog buns

b/   $145.60

Something's not right here.

If I have 2 brothers, I must have 4 sisters. In this case, each of my sisters has 3 sisters and 3 brothers!?

But, if I have ONLY 4 sisters and no brothers, then each of my sisters has 3 sisters and 1 brother (2 more sisters than brothers).

What about the oldest brother?

https://web2.0calc.com/questions/needs-help-thanks#r1