Bridget went fishing with her dad. Bridget caught the first fish of the day, and it weighed f ounces. That day, she caught four more fish. One was 2 times the weight of the first fish, another was 2 more than 3 times the weight of the first fish, the next was 1/2 the weight of the first fish, and the last was 3/5 the weight of the first fish. Bridget's dad caught four fish. The first fish he caught weighed 2 more than 3 times the weight of the first fish caught that day. One fish weighed 4/5 the weight of the first fish caught that day, one weighed 4 more than 2 times the weight of the first fish caught that day, and the last weighed 1/2 the weight of the first fish caught that day. If all the fish Bridget caught have the same total weight as all the fish her dad caught, then the first fish Bridget caught weighed_ ounces and the first fish her dad caught_ weighed ounces.

Question

Callie Wolfe

Mathematics

6 February, 11:47

Bridget went fishing with her dad. Bridget caught the first fish of the day, and it weighed f ounces. That day, she caught four more fish. One was 2 times the weight of the first fish, another was 2 more than 3 times the weight of the first fish, the next was 1/2 the weight of the first fish, and the last was 3/5 the weight of the first fish. Bridget's dad caught four fish. The first fish he caught weighed 2 more than 3 times the weight of the first fish caught that day. One fish weighed 4/5 the weight of the first fish caught that day, one weighed 4 more than 2 times the weight of the first fish caught that day, and the last weighed 1/2 the weight of the first fish caught that day. If all the fish Bridget caught have the same total weight as all the fish her dad caught, then the first fish Bridget caught weighed_ ounces and the first fish her dad caught_ weighed ounces.

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Answers (1)

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Carter Dunn · Answer 1

Bridgets fish: f, 2f, 3f+2, 1/2f, 3/5f

Add for total weight: 7 1/10 f + 2

Dads fish: 3f+2, 4/5f, 2f+4, 1/2f

Add for total weight: 6 3/10f + 6

set the 2 total weights equal:

6 3/10f + 6 = 7 1/10f + 2

Subtract 6 3/10f from each side:

6 = 8/10f + 2

Subtract 2 from each side:

4 = 8/10f

Divide both sides by 8/10:

f = 5

Bridget's first fish weighed 5 ounces.

Dads first fish weighed: 2 more than 3 times : 3 (5) + 2 = 15 + 2 = 17 ounces.