Question

A collection of nickels and dimes is worth $6.10. There are 67 coins in all. how many nickels are there?

12, 18, 49 or 55
Allan and Dave bowl together and their combined total score for one game was 375 points. Allan’s score was 60 less than twice Dave’s. what were their score?
Dave:145 Allan: 230
Dave: 160 Allan: 215
Dave: 215 Allan:160
Dave: 230 Allan: 145

Answer 1

Question 1:

For this case, the first thing we must do is define variables.
We have then:
x: number of nickels
y: number of dimes
We write the system of equations that adapts to the problem.
We have then:
0.05x + 0.10y = 6.10
x + y = 67
Solving the system we have:
x = 12
y = 55
Answer:
there are 12 nickels

Question 2:

For this case, the first thing we must do is define variables.
We have then:
x: Allan's score
y: Dave's score
We write the system of equations that adapts to the problem.
We have then:
x + y = 375
x = 2y-60
Solving the system we have:
x = 230
y = 145
Answer:
Dave: 145 Allan: 230