## Thomas, Janaid and Sara received a total of £75 .Thomas received £8 less than Sara but £5 more than Janaid.How much did they each receive

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

Lorem ipsum dolor sit amet, consectetur adipiscing elit.Morbi adipiscing gravdio, sit amet suscipit risus ultrices eu.Fusce viverra neque at purus laoreet consequa.Vivamus vulputate posuere nisl quis consequat.

## Answers ( No )

Write a system of equation based on the problemMake an algebraic expression for “Thomas, Janaid, Sara received a total of £75”

t + j + s = 75 (

first equation)Make an algebraic expression for “Thomas received £8 less than Sara”

t = s – 8 (

second equation)Make an algebraic expression for “Thomas received £5 more than Janaid”

t = j + 5 (

third equation)Solve the equation systemFrom the second equation, we need to find the value of s in term of t

t = s – 8

t + 8 = s (

fourth equation)From the third equation, we need to find the value of j in term of t

t = j + 5

t – 5 = j (

fifth equation)Substitute the fourth and fifth equation to the first equation to find the value of t

t + j + s = 75

t + (t – 5) + (t + 8) = 75

3t + 3 = 75

3t = 75 – 3

3t = 72

t = 72/3

t = 24

Thomas received £24Substitute the value of t to the fourth equation to find the value of s

s = t + 8

s = 24 + 8

s = 32

Sara received £32Substitute the value of t to the fifth equation to find the value of j

j = t – 5

j = 24 – 5

j = 19

Janaid received £19