Question

2)

Which situation is represented by the equation?

0.05(x + 4) + 0.10(x) = 1.25
A) Jacob has four more dimes than nickles in his pocket, for a total of $1.25. What is x, the number of dimes in his pocket?
B) Jacob has four more nickels than dimes in his pocket, for a total of $1.25. What is x, the number of dimes in his pocket?
C) Jacob has four times the number of dimes than nickles in his pocket, for a total of $1.25. What is x, the number of dimes in his pocket?
D) Jacob has four times the number of nickels than dimes in his pocket, for a total of $1.25. What is x, the number of dimes in his pocket?

Answer 1

Given equation :
`0.05(x + 4) + 0.10(x) = 1.25`

1 dime = $0.10

1 nickel = $0.05

So, x is the no. of dimes in equation and x+4 is the number of nickels

So, Option B is true Jacob has four more nickels than dimes in his pocket, for a total of $1.25.

`0.05(x + 4) + 0.10(x) = 1.25`

`0.05x +0.2 + 0.10x = 1.25`

`0.15x +0.2= 1.25`

`0.15x = 1.25-0.2`

`0.15x = 1.05`

`x = (1.05)/(0.15)`

`x =7`

Hence the number of dimes in his pocket is 7

Answer 2

B) Jacob has four more nickels than dimes in his pocket, for a total of $1.25. What is x, the number of dimes in his pocket?

Explanation:

The equation is multiplying the number of dimes (x) by the value of a dime 0.10. it is also adding 4 to the value of x ( 4 more nickels than dimes) and multiplying that by the value of a nickel.