Team A ships six times as many packages as Team B and one third as many as Team C. If Team C ships 287,450 packages, how many packages does Team B ship.

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Respuesta :

eugewolberg eugewolberg · Answer 1 · 2021-03-10T17:59:44+01:00

Answer:

95816.2222

Step-by-step explanation:

you divide 2874500 by 3

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MrRoyal MrRoyal · Answer 2 · 2021-08-04T18:27:43+02:00

The number of packages that Team B ships is 15969

We make use of the following representations

[tex]A \to[/tex] Team A

[tex]B \to[/tex] Team B

[tex]C \to[/tex] Team C

From the first statement in the question

[tex]A = 6B[/tex] ---- 6 times as many as B

From the second statement

[tex]A =\frac{1}{3}C[/tex] ---1/3 as many as C

From the third

[tex]C = 287450[/tex] ---- packages by team C

To calculate the number of packages by team B,

Substitute [tex]C = 287450[/tex] in [tex]A =\frac{1}{3}C[/tex]

[tex]A = \frac{1}{3} * 287450[/tex]

[tex]A = \frac{287450}{3}[/tex]

Next, we calculate the number of packages by team A by substituting [tex]A = \frac{287450}{3}[/tex] in [tex]A = 6B[/tex]

[tex]\frac{287450}{3} =6B[/tex]

Make B the subject

[tex]B = \frac{287450}{3*6}[/tex]

[tex]B = \frac{287450}{18}[/tex]

[tex]B = 15969[/tex] -- approximated to the nearest whole number