Question

Eric is looking to go shopping, as he knows he needs more ties and shirts. Eric is looking for his ties and discovers that he currently has 20 shirts for every 2 ties. If he goes shopping and buys 3o more shirts and now has 50 shirts, after buying more ties, how many would he have if he wanted to keep the original ratio of shirts to ties the same?

Answer 1

Answer

5 ties, as the equivalent ratio would be 50:5, meaning 50 shirt to 5 ties  

Step-by-step explanation:  What should have been recognized is that if 20 shirts align to 2 ties, that means that for every ten shirts you would have 1 tie. The ratio doesn't change. That means that if you have 30 shirts you would have 3 ties, and 40 shirts you would have 4 ties. The common multiples are  10 and 1, and are originally introduced through 20 and 2. The reality is from  the standpoint of unit rate, for every 10 shirts you have 1 tie. You simply just had to multiply once understanding this.

Answer 2

1 way

For 20 shirts Eric has

20×2=40 ties

After shopping Eric has 50 shirts

So

20 shirts 50 shirts

40 ties x ties

$\frac{20}{40} = \frac{50}{x} \\ x = \frac{50 \times 40}{20} \\ x = 100$

Answer: He would have 100 ties

2 way

If he has 2 ties for 1 shirt he will have

2×20=40 ties for 20 shirts, so for 50 shirts ge would have

50×2=100 ties

Answer: He would have 100 ties