Atiara is studded with a mixture of gems. the ratio of sapphires to emeralds is 3: 1. if 6 emeralds are added, the tiara will contain an equal number of sapphires and emeralds. how many emeralds must be added to the original tiara so that the ratio between emeralds and sapphires is 3: 1?
(a) 9
(b) 12
(c) 18
(d) 24
(e) 27

Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Ratio of sapphires to emeralds = 3:1

Let the number of sapphires be 3x.

Let the number of emeralds be 'x'.

According to question, if 6 emeralds are added, we get that

So, Number of sapphires = 3×3 = 9

Number of emeralds = 3

So, total emeralds would be 3+ 6 = 9.

Hence, option 'A' is correct.

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)