A Grandmother buys one strawberry doughnut and one chocolate doughnut for her two grandchildren, Jessy and James.
Jessy eats of the strawberry doughnut, while James eats
of the chocolate doughnut.
How much of the doughnuts do they eat in total?
A Grandmother buys one strawberry doughnut and one chocolate doughnut for her two grandchildren, Jessy and James.
Jessy eats \( \frac{1}{6} \) of the strawberry doughnut, while James eats
\( \frac{1}{3} \) of the chocolate doughnut.
How much of the doughnuts do they eat in total?
A mother buys two pizzas for her husband and son.
The first pizza is divided into 3 equal slices, while the second is divided into 9 equal slices.
The husband eats 1 slice of the first pizza and the son eats 2 slices of the second pizza.
How much do the father and son eat in total?
John runs around a 100-meter track.
He runs his first 50 meters at a speed of 38 km/h.
The next 25 meters, he runs at a speed of 36 km/h.
He runs the last 25 meters at a speed of 34 km/h.
How much of the track does he cover at a speed of 34 km/h?
A chocolate cake is divided into 8 equal slices.
When Jorge goes to try the cake, he sees that only 3 slices are left.
If Jorge eats \( \frac{1}{4} \) of the cake, then how much of the chocolate cake is left?
A Grandmother buys one strawberry doughnut and one chocolate doughnut for her two grandchildren, Jessy and James.
Jessy eats of the strawberry doughnut, while James eats
of the chocolate doughnut.
How much of the doughnuts do they eat in total?
To determine how much of the doughnuts they eat in total, let's find the sum of the fractions that represent their consumption.
First, consider Jessy's consumption of the strawberry doughnut: .
Next, consider James's consumption of the chocolate doughnut: .
To add these fractions, we need a common denominator. The denominators are 6 and 3. The least common multiple of these is 6.
Convert to an equivalent fraction with a denominator of 6:
Now we have the fractions and .
We can add them since they have the same denominator:
Therefore, in total, Jessy and James eat:
of the doughnuts.
The correct answer choice is the one that corresponds to , which is Choice 2.
Thus, the solution to this problem is that they eat of the doughnuts in total.
A mother buys two pizzas for her husband and son.
The first pizza is divided into 3 equal slices, while the second is divided into 9 equal slices.
The husband eats 1 slice of the first pizza and the son eats 2 slices of the second pizza.
How much do the father and son eat in total?
To solve this problem, we need to express the portions eaten by the husband and the son as fractions of their respective pizzas and then add these fractions.
First, let's express the husband's consumption as a fraction. The husband eats 1 slice from the first pizza, which is divided into 3 equal slices. Therefore, the husband eats:
of the first pizza.
Next, express the son's consumption as a fraction. The son eats 2 slices from the second pizza, which is divided into 9 equal slices. Therefore, the son eats:
of the second pizza.
Now, to add these fractions, we need a common denominator. The denominators here are 3 and 9. The least common denominator for these is 9. So, we convert to have a denominator of 9:
.
Now, add the fractions:
.
Therefore, the total amount the husband and the son eat in total is of the combined pizzas.
Thus, the correct answer is .
John runs around a 100-meter track.
He runs his first 50 meters at a speed of 38 km/h.
The next 25 meters, he runs at a speed of 36 km/h.
He runs the last 25 meters at a speed of 34 km/h.
How much of the track does he cover at a speed of 34 km/h?
To solve this problem, we'll determine the fraction of the track John covers at a speed of 34 km/h.
Therefore, the solution to the problem is .
A chocolate cake is divided into 8 equal slices.
When Jorge goes to try the cake, he sees that only 3 slices are left.
If Jorge eats of the cake, then how much of the chocolate cake is left?
To solve this problem, we need to determine how much of the cake is left after Jorge consumes part of it. We know the following:
We need to find in terms of eighths to subtract it from :
since multiplying both the numerator and the denominator by 2 converts it.
Thus, the amount of cake Jorge eats from the original amount available is equivalent to of the cake.
Now, we perform the subtraction to find the remaining portion of the cake:
Therefore, the amount of cake left after Jorge eats his portion is of the original cake. Thus, the final solution is:
.