A commercial bakery prepares a special bread dough using flour, water, and sourdough start… — Armed Services Vocational Aptitude Battery (ASVAB)

A commercial bakery prepares a special bread dough using flour, water, and sourdough starter in a ratio of $11:6:3$ by weight. If a single batch uses $42$ pounds of water, what is the total weight of the dough for this batch, in pounds?

Answer: 140 / 140 pounds / 140 lbs / 140 lb

Answer

140

Since the water represents

6

parts of the ratio and weighs

42

pounds, each part weighs exactly

7

pounds (

42 \div 6 = 7

). The entire batch of dough is composed of

20

total parts (

11

for flour +

6

for water +

3

for starter). Multiplying the

20

total parts by the

7

pounds per part results in a total batch weight of

140

pounds.

Step-by-Step Solution

Find the value of one part in the ratio.

42 \div 6 = 7

pounds per part.

Water corresponds to

6

parts of the

11:6:3

ratio, and its total weight is

42

pounds.

Calculate the total number of parts in the entire dough mixture.

11 + 6 + 3 = 20

total parts.

The total weight is the sum of the parts for flour, water, and starter.

Multiply the total number of parts by the weight of a single part.

20 \times 7 = 140

pounds.

Scaling the

20

total parts by the

7

pounds per part gives the total weight of the batch.

Key Concept

Solving proportions by finding the unit rate of a single part and multiplying it by the total number of parts.

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