<h3>
Answer: 60 muffins</h3>
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Explanation:
x = some positive whole number
2x = amount Helen baked initially
5x = amount Rebecca baked initially
Notice that the ratio 2x:5x reduces to 2:5 after dividing both parts by x.
So (2x)/(5x) = 2/5
Helen then bakes another 12 muffins, bumping the 2x up to 2x+12. The ratio is now 1:2, which means,
(amount Helen bakes)/(amount Rebecca bakes) = 1/2
(2x+12)/(5x) = 1/2
2(2x+12) = 5x*1 .... cross multiply
4x+24 = 5x
24 = 5x-4x
24 = x
x = 24
From here, we then can say,
- Helen = 2x+12 = 2*24+12 = 48+12 = 60
- Rebecca = 5x = 5*24 = 120
Helen baked 60 muffins and Rebecca baked 120 muffins. We see that 60:120 reduces to 1:2 after dividing both parts by the GCF 60.
Furthermore, note how
- 2x = 2*24 = 48
- 5x = 5*24 = 120
- 48:120 reduces to 2:5 after dividing both parts by 24
This helps confirm we have the correct answer.
Answer:
9.5 its easy you shouldn't need an explantion if you need comment below for one.
Answer:
Randomly select 50 tickets from each zone and invite those guests to participate in the survey.
Step-by-step explanation:
I hope this helped
23.67>23.42
Step-by-step explanation:
imagine the > or < is an alligator
the alligator wants to eat the bigger number
23.67 is bigger than 23.42
so the alligator wants to eat 23.67
the number before the decimal might be the same but look at the number after the decimal
0.67 and 0.42
0.67 is bigger than 0.42
