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# Ratios, Proportions and Percentages

Solve in any way. If you are finding the percent, round to the nearest hundredth.

a- what percent of 25 is 23?
b- 94.7% of what number is 462?
c- what number is 23% of 45?
d- 52.75 is what percent of 116?

2- Because of all the food crumbs in her room, Alicia's bedroom is filled with roaches. Last week , she bought a can of 'Kill em Flat' and sprayed the 35 roaches on her desk. Unfortunately, the spray only turned them green and did not harm them. they just ran away into hiding . Last night alicia tried a roach motel, a box with sticky walls inside. The roach motel caught 56 roaches 8 of them were green. using this information, about how many roaches are in alicia's bedroom? Round the nearest whole roach.

#### Solution Preview

a- what percent of 25 is 23?
= 23/25 * 100% = 0.92 * 100% = 92%

b- 94.7% of what number is 462?
= 462 / 94.7% = 487.86

c- what number is 23% of 45?
= 45 * 23% = 10.35

d- 52.75 is what percent of 116?
= 52.75/116 * 100% = ...

#### Solution Summary

Ratios, Proportions and Percentages are investigated. The solution is detailed and well presented.

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