Question

Stefani has 18 grams of 20% sugar syrup and john has 30% of 25% sugar syrup. How many grams of sugar does the new mixture contain?

Answer 1

To find the total sugar in the new mixture, we calculate the sugar in each syrup (3.6g in Stefani's and 7.5g in John's) and add them together, resulting in 11.1 grams of sugar in the new mixture.

Step-by-step explanation:

To determine how many grams of sugar the new mixture contains, we need to calculate the amount of sugar in each individual's syrup and then sum them up. For Stefani's 20% sugar syrup, the amount of sugar is calculated as follows:

x 100% = 20% sugar

Grams of sugar in Stefani’s syrup = 0.20 × 18g = 3.6g

For John's 25% sugar syrup, the amount of sugar is:

x 100% = 25% sugar

Grams of sugar in John’s syrup = 0.25 × 30g = 7.5g

Now, to find the total grams of sugar in the new mixture, we add the sugar from both Stefani and John:

Total grams of sugar = Stefani's sugar + John's sugar = 3.6g + 7.5g = 11.1g

The new mixture contains 11.1 grams of sugar.

Answer 2

The new mixture will have 11.1 grams of sugar.

Step-by-step explanation:

Given that Stefani has 18 grams of 20% sugar syrup while John has 30 grams of 25% sugar syrup, if these were combined, to determine the amount of sugar that the new mixture would have, the following calculation must be performed:

18 x 0.2 + 30 x 0.25 = X

3.6 + 7.5 = X

11.1 = X

Therefore, the new mixture will have 11.1 grams of sugar.