Question

3. Which equation could be used to solve the problem

below?
If three times a number is increased by 24, the result is 4 less than seven times the number.
6. Arielle has a collection of grasshoppers and crickets. She has 561 insects in all.
The number
of grasshoppers is twice the number of crickets.
Find the number of each type of insect that she has.

Answer 1

To solve the problem, let's assume the number of crickets as 'x'. According to the problem, the number of grasshoppers is twice the number of crickets. The equation that represents the problem is 3x + 24 = 7x - 4.

Step-by-step explanation:

To solve the problem, let's assume the number of crickets as 'x'. According to the problem, the number of grasshoppers is twice the number of crickets, so the number of grasshoppers would be 2x. The equation that represents the problem is 3x + 24 = 7x - 4.

To solve this equation, we can start by simplifying it. Subtract 3x from both sides of the equation and add 4 to both sides: 24 + 4 = 7x - 3x. This simplifies to 28 = 4x.

Divide both sides of the equation by 4 to solve for x: x = 7. Therefore, Arielle has 7 crickets and 2 * 7 = 14 grasshoppers.

Learn more about Solving equations with unknown variables