# Maya has 2x as many white beads as black beads. After using 40 white and 5 black to make a necklace she has 3x as many black beads as white. How many black beads she started with?

She started with

By signing up, you agree to our Terms of Service and Privacy Policy

Let's denote the initial number of black beads as ( b ) and the initial number of white beads as ( w ).

Given:

- Maya has 2 times as many white beads as black beads, so we can write ( w = 2b ).
- After using 40 white beads and 5 black beads to make a necklace, Maya has 3 times as many black beads as white, so we can write ( b - 5 = 3(w - 40) ).

Now, we can substitute the value of ( w ) from the first equation into the second equation:

[ b - 5 = 3(2b - 40) ]

Solve this equation for ( b ):

[ b - 5 = 6b - 120 ] [ 120 - 5 = 6b - b ] [ 115 = 5b ] [ b = 23 ]

So, Maya started with 23 black beads.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- NYU has a ratio of 3 girls to 2 boys in class. If there are 12 boys in class, how many girls are there?
- How do you convert 43 hm to km?
- How do you convert 93.7 minutes to seconds?
- A group of friends went out for dinner. 19 of the diners ordered vegetarian food and 14 ordered non-vegetarian food. What is the ratio of number of vegetarian meals to the number of non-vegetarian meal?
- Rick bought 3 shirts for $18 each, 2 pair of socks for $3.99 a pair, and a pair of slacks for $45.00. The sales tax rate is 8.5%. How much did he pay?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7