Cole had three boxes, containing a total of 1300 styrofoam bowls. The number of styrofoam bowls in Box P to the total number of styrofoam bowls was 3 : 10. He sold 385 styrofoam bowls from Box Q and sold
13 of the styrofoam bowls in Box R. The number of styrofoam bowls left in Box Q to the number of styrofoam bowls left in Box R was 2 : 1. How many styrofoam bowls were there in Box Q at first?
|
Box P |
Box Q |
Box R |
Total |
Before |
3 u
|
7 u (910)
|
10 u (1300) |
|
|
4 p + 385 |
3 p |
|
Change |
|
- 385 |
- 1 p |
|
|
|
|
2 p |
|
After |
|
2x2 = 4 p |
1x2 = 2 p |
|
10 u = 1300
1 u = 1300 ÷ 10 = 130
Number of styrofoam bowls in Box Q and Box R at first
= 7 u
= 7 x 130
= 910
The number of bowls left in R is the repeated identity.
LCM of 1 and 2 = 2
4 p + 385 + 3 p = 910
4 p + 3 p = 910 - 385
7 p = 525
1 p = 525 ÷ 7 = 75
Number of bowls in Box Q at first
= 4 p + 385
= 4 x 75 + 385
= 300 + 385
= 685
Answer(s):685