Team A ships six times as many parcels as Team B and one third as many as Team C. If Team C ships 287,450 parcels, how many parcels does Team B ship?
Answers
Answer:
The number of packages that Team B ships is 15969
We make use of the following representations
A \toA→ Team A
B \toB→ Team B
C \toC→ Team C
From the first statement in the question
A = 6BA=6B ---- 6 times as many as B
From the second statement
A =\frac{1}{3}CA=
3
1
C ---1/3 as many as C
From the third
C = 287450C=287450 ---- packages by team C
To calculate the number of packages by team B,
Substitute C = 287450C=287450 in A =\frac{1}{3}CA=
3
1
C
A = \frac{1}{3} * 287450A=
3
1
∗287450
A = \frac{287450}{3}A=
3
287450
Next, we calculate the number of packages by team A by substituting A = \frac{287450}{3}A=
3
287450
in A = 6BA=6B
\frac{287450}{3} =6B
3
287450
=6B
Make B the subject
B = \frac{287450}{3*6}B=
3∗6
287450
B = \frac{287450}{18}B=
18
287450
B = 15969B=15969 -- approximated to the nearest whole number
Step-by-step explanation:
THIS IS THE RIGHT ANSWER