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------------------------------------------------ Independent Challenge #6

The ratio of flour to sugar in a cake recipe is 7 to 5. If the recipe calls for 20 tablespoons of sugar, then how many tablespoons of flour and sugar will be required in total?

a. Calculate the total tablespoons of flour.
b. Determine the total tablespoons of sugar.
c. Find the sum of flour and sugar tablespoons.
d. Evaluate the ratio of flour to sugar.

Answer :

Final answer:

To calculate the total tablespoons of flour and sugar required in the cake recipe, set up a proportion using the given ratio of 7 to 5. Solve for x to get the total tablespoons of flour and solve for y to get the total tablespoons of sugar. Then, add the total tablespoons of flour and sugar together to find the sum. The ratio of flour to sugar is 7 to 5.

Explanation:

To calculate the total tablespoons of flour and sugar required in the cake recipe, we first need to find the ratio of flour to sugar. The given ratio is 7 to 5. This means that for every 7 tablespoons of flour, there are 5 tablespoons of sugar.

To calculate the total tablespoons of flour, we can set up a proportion. Let x be the total tablespoons of flour. We have the ratio: 7/5 = x/20. Cross multiplying, we get 7*20 = 5*x. Solving for x, we find x = 28. Therefore, the total tablespoons of flour required is 28.

To determine the total tablespoons of sugar, we can use the same proportion. Let y be the total tablespoons of sugar. We have: 7/5 = 20/y. Cross multiplying, we get 7*y = 5*20. Solving for y, we find y = 28. Therefore, the total tablespoons of sugar required is also 28.

To find the sum of flour and sugar tablespoons, we add the total tablespoons of flour and sugar together. 28 + 28 = 56. Therefore, the sum of flour and sugar tablespoons required is 56.

The ratio of flour to sugar is 7 to 5, which can also be expressed as 7:5 or 7/5.

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