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Find the ratio of the total number of green colour balloons manufactured on Wednesday to the total number of purple colour balloons manufactured on Monday.
8:13
7:9
6:1
11:5
None of the above
11:5
Use the common term (Purple) to link ratios on Monday: P:G:Grey=3:4:2. Sum of units 3+4+2=9. Thus, 9┬аunits=450тЯ╣1┬аunit=50.
Monday: P:G = 3:4, P:Grey = 3:2, Sum = 450. Wednesday: P = 5/11 of G, P = 150, Grey = 240.
Ratio=Purple┬аMondayGreen┬аWednesdayтАЛ
Use the common term (Purple) to link ratios on Monday: P:G:Grey=3:4:2. Sum of units 3+4+2=9. Thus, 9┬аunits=450тЯ╣1┬аunit=50.
Confusing the total balloons manufactured with specific colour balloon counts on different days.
Calculate Monday Purple balloons
From the Monday ratio P:G=3:4 and P:Grey=3:2, the combined ratio is P:G:Grey=3:4:2. The total units are 3+4+2=9. Given total =450, one unit is 450/9=50. Thus, P=3├Ч50=150.
PMondayтАЛ=3├Ч50=150
Calculate Wednesday Green balloons
Given PWednesdayтАЛ=150 and the condition P=115тАЛG, we solve for G. Substituting P=150, we get 150=115тАЛG.
GWednesdayтАЛ=5150├Ч11тАЛ=30├Ч11=330
Calculate the final ratio
We find the ratio of GWednesdayтАЛ to PMondayтАЛ. The values are 330 and 150 respectively.
150330тАЛ=1533тАЛ=511тАЛ
D is correct because the ratio of green balloons on Wednesday to purple balloons on Monday is 330:150, which simplifies to 11:5.
In Data Interpretation, always standardize the ratios using a common variable before calculating totals to avoid errors in multi-day problems.