# algebra

beth is two years older than julio.Gerald is twice as old as beth.debra is twice as old as gerald.the sum of theIr ages is 38.how old is beth?

1. 👍 0
2. 👎 0
3. 👁 105
1. B=age of Beth,
J=age of Julio
G=age of Gerald
D=age of Debra

Equations, expressed in terms of J
B=J+2
G=2B=2(J+2)=2J+4
D=2G=2(2J+4)=4J+8
Finally
J+B+G+D=38 and substitute above values:
J+(J+2)+(2J+4)+4J+8=38
8J+14=38
J=3
Backsubstitute J in the above equations to get the ages of Beth, Gerald and Debra.

1. 👍 0
2. 👎 0
posted by MathMate

## Similar Questions

1. ### maths

Beth is two years older than Julio.Gerald is twice as old as Beth.Debra is twice as old as Gerald.The sum of their ages is 38.How old is Beth? (1)2 (2)3 (3)5 (4)6 (5)8

asked by peter on August 10, 2014
2. ### math word

beth is two years older than julio. gerald is twice as old as beth. debra is twice as old as gerald. the sum of their ages is 38? how old id beth a 3 b 5 c 6 d 8 why!!!

asked by iris on April 7, 2010
3. ### Math

Emma is 5 years older than 6 times beth's age. If Emma is 29 years old how old is Beth?

asked by Sarah on October 1, 2013
4. ### Law and ethics in allied health

ive been trying to figure this question out for 20 minutes.. if you could help me that would be great. - Dennis, a new medical assistant at Dr. Hernandez's office, notices that Beth has been waiting over an hour to get an allergy

asked by Ali on January 13, 2011
5. ### Math--1 question

Which word phrase could represent the variable expression 3d + 5? Let d = Beth's age. five more than Beth’s age times three three times Beth’s age minus five five times Beth’s age plus three three minus Beth’s age times

asked by Anonymous on September 26, 2014
6. ### Check my answers? Math help.

2. Write an integer to represent owing your friend \$10. –10 *** –2 2 10 3. Write the sum as a product, then simplify the product. (–8) + (–8) + (–8) + (–8) ( 2(–8) + 2(–8) = –30 4(–8) = –32 **** 4(–8) = 32

asked by Sally on September 27, 2014
7. ### Language Arts HELP!

Which of the following sentences contains a verb in the future perfect tense? A. Andy is going to walk home with Beth every afternoon. B. Andy has been walking home with Beth every afternoon. C. Andy will walk home with Beth

asked by Anonymous on October 23, 2014
8. ### Math

Hugh is 5 years younger than his 14year old sister, Beth. If n represents Beth's age in the future, write an expression that wold represent Hugh's age at the same time

asked by YaMaJi on November 5, 2015
9. ### math

Beth & J had \$2880. Beth gave 1/4 of her money to J. Then J gave 1/3 of the total amount she had to Beth. In the end, both girls had same amount of money. 1 - how much money did beth have at first? 2- how much money did J had at

asked by Bob-Bob on April 2, 2015
10. ### math

Felicity is deep-sea diving with two friends. Todd is exploring a coral reef 6 meters in front of Felicity, and Beth is floating on the surface directly above Felicity. If Beth and Todd are 10 meters apart, how far apart are

asked by kiara on October 22, 2013

More Similar Questions