Three teams, A, B and C, play in a competition. games won by A: games won by B = 4:3
games won by B: games won by C = 5:2
Team B has won 30 games.
In total, how many games have the three teams won?

     43

Explanation:

A : B : C

     4 : 3  

          5 : 2

A × B → 4 × 5 = 20

B × B → 3 × 5 = 15

B × C → 3 × 2 = 6

  A : B : C

 20 : 15 : 6

B = 15 = 30

what of teams A and C together?

 If 15 = 30games, what about 26games?

Cross multiply.

   15 × 26          =13

      30

So, games won by Team B + games won by Teams A and C

        30games + 13games

               =43games.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.