Respuesta :
Answer:
As per the statement:
90 g of sugar will make 15% of x syrup
i,e
[tex]90 g = 15 \%\times x[/tex]
Solve for x:
[tex]90 = \frac{15}{100}x[/tex]
Multiply both sides by 100 we get;
[tex]9000 = 15x[/tex]
Divide both sides by 15 we have;
[tex]600 = x[/tex]
or
x = 600g
Therefore, 90 g of sugar will make 15% syrup is 600g
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
[tex]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[/tex]
Hence, 600 grams sugar syrup is made by 15% sugar syrup of 90g sugar.