Paula and Karen are playing a game. Paula counts by 4s. Karen counts by 5s. They try to pace the counting so they will say the first common number together. What is the first number they both say together?

20

Step-by-step explanation:

We are to determine the lowest common multiple of 4 and 5

the first six multiple of 4 are = 4, 8, 12, 16, 20, 24

the first six multiple of 5 are = 5, 10, 15, 20, 25

the multiple they both have in common is 20

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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