Verified Answer :

Answer:

As per the statement:

90 g of sugar will make 15% of x syrup

i,e

\(90 g = 15 \%\times x\)

Solve for x:

\(90 = \frac{15}{100}x\)

Multiply both sides by 100 we get;

\(9000 = 15x\)

Divide both sides by 15 we have;

\(600 = x\)

or

x = 600g

Therefore, 90 g of sugar will make 15% syrup is 600g

JeanaShupp

Answer: 600 grams.

Step-by-step explanation:

Let x be the amount of sugar syrup made by 15% sugar syrup using 90g sugar.

Also, 15% =0.15

Thus 15% sugar syrup =15% of x = 0.15x

According to the question, we have  

\(0.15x=90\\\\\text{Divide 0.15 on the both sides we get}\\\\\Rightarrow\ x=\dfrac{90}{0.15}\\\\\Rightarrow\ x=\dfrac{9000}{15}\\\\\Rightarrow\ x=600\)

Hence, 600 grams sugar syrup is made by 15% sugar syrup of 90g sugar.

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