MATH SOLVE

3 months ago

Q:
# A bag contains purple marbles and green marbles, 55 in total. The number of purple marbles is 7 more than 2 times the number of green marbles. How many purple marbles are there?

Accepted Solution

A:

There are 39 purple marbles in the bagStep-by-step explanation:The given is:There are 55 purple and green marbles in total in a bageThe number of purple marbles is 7 more than 2 times the number of green marblesWe need to find how many purple marbles in the bagAssume that the number of the purple marbles is P and the number of the green marbles is G∵ There are P purple marbles and G green marbles in the bag∵ There are 55 marbles in the bag∴ P + G = 55 ⇒ (1)∵ The number of purple marbles is 7 more than 2 times the number of green marbles- Add 7 and 2 times G to get P∴ P = 7 + 2 G- Subtract 2 G from both sides∴ P - 2 G = 7 ⇒ (2)Let us solve the system of equations to find PMultiply equation (1) by 2 to eliminate G∵ 2 P + 2 G = 110 ⇒ (3)- Add equations (2) and (3)∴ 3 P = 117- Divide both sides by 3∴ P = 39∵ P represents the number of the purple marbles in the bag∴ There are 39 purple marbles in the bagThere are 39 purple marbles in the bagLearn more:You can learn more about the system of equations in brainly.com/question/3739260#LearnwithBrainly