Reading a ratio as times, film 2 of 2

Two boxes at a post office hold parcels. The number of parcels in Box A to the number of parcels in Box B is 1 to 2. Box A holds 24 parcels. How many parcels are in Box B? Draw Box A as one row, 1 blue unit. Now write the two names down. Box A to Box B, 1 to 2. Box B is 2 blue units. Each of them is a copy of Box A's unit. Two copies, side by side, make Box B. So Box A fits into Box B exactly twice. Box B is 2 times Box A. Now write Box A's count down. Box B is 2 times Box A, so 24 goes where Box A is. 2 times 24 is 48 parcels.

Your turn. The number of stickers in Album P to the number of stickers in Album Q is 1 to 3. Album P has 15 stickers. How many stickers are in Album Q? Album P is one blue block. Use the same move. Try it first. Pause if you like. Build Album Q from 3 copies of Album P. Copy Album P 3 times. So Album Q is 3 times Album P. Album P has 15 stickers, so 15 goes where Album P is. 3 times 15 is 45 stickers.

Now a harder question. The number of tickets at Booth A to the number of tickets at Booth B was in the ratio 7 to 5. After 42 tickets were moved from Booth A to Booth B and 36 newly printed tickets were placed in Booth B, the ratio became 1 to 2. How many tickets were at Booth A at first? Booth A started with 7 units, and 42 tickets left it, so Booth A in the end is 7 units minus 42. Draw that as one block. In the end the ratio is 1 to 2. Booth A in the end is 1 part, and Booth B in the end is 2 parts. So Booth B in the end is 2 copies of Booth A in the end. Booth A in the end is 7 units minus 42, so that goes in twice. 2 times 7 units is 14 units, and 2 times 42 is 84. One statement, read twice. 1 to 2 gives Booth A 1 part and Booth B 2 parts. It also says Booth B is 2 times Booth A. So whatever Booth A is, it goes in twice over. 7 units minus 42, twice, is 14 units minus 84. Now finish the question. Booth B started with 5 units. Then 42 tickets moved in from Booth A. And 36 new tickets were added. 42 and 36 make 78, so Booth B in the end is 5 units plus 78. Both are Booth B in the end, so 14 units minus 84 is 5 units plus 78. 14 units and 5 units differ by 9 units, so 9 units is 78 plus 84, which is one hundred and sixty two. 1 unit is one hundred and sixty two divided by 9, which is 18. Booth A started with 7 units, so 7 times 18 is one hundred and twenty six tickets. The second number tells you how many of the first it takes.