ANSWER:
a = 11
b = 2
Explaination:
We have two equations:
a = 5b + 1 .....................(1)
a = 3b + 5.....................(2)
Here we use substitution method in order to solve the set of equations.
put a=3b+1 to equation (1)
3b + 5 = 5b + 1
Solve for b
5 = 5b -3b + 1
5-1 =2b
4 = 2b
b = 2
Now put the value of b = 2 into the equation (1) or (2)
a = 5b + 1
a = 5(2) + 1
a = 10 + 1
a = 11
Answer: 5 1/4
Step-by-step explanation:
First, you calculate the total amount of parts : 7 + 3 = 10
Next, divide the number by the total amount of parts : £500 ÷ 10 = £50
After that, you multiply the answer by the amount of parts needed on both sides of the ratio : £50 × 3 = £150 and £50 × 7 = £350
Finally put these answers back into the ratio : £150:£350
To check, make sure both sides of the ratio add up to the original number : £150 + £350 = £500