# Math - Ratios

posted by .

The ratio of wood bats to metal bats at a sporting goods store is 2:7. After 10 metal bats are sold, the ratio of wood bats is 3:8. How many wood bats are there at the store?

• Math - Ratios -

w/m = 2/7
w/(m-10) = 3/8

clearing fractions, we have

7w = 2m
8w = 3m-30
so,

m = 7w/2
8w = 3(7w/2) - 30
16w = 21w - 60
5w = 60
w = 12
m = 42

check:
12/42 = 2/7
12/32 = 3/8
ok!

## Similar Questions

1. ### math

a store sells 3 times more of bats then rackets. they sell a total of428 of bats and rackets. how many bats how many rackets
2. ### Math

BLIND BATS AT HALLOWEEN There were number of bats in a cave. Two bats can see out of right eye, Three bats can see out of left eye, Four can't see out of left eye, and Five can't see out of right eye. What is the least number of bats …
3. ### math

BLIND BATS AT HALLOWEEN There were number of bats in a cave. Two bats can see out of right eye, Three bats can see out of left eye, Four can't see out of left eye, and Five can't see out of right eye. What is the least number of bats …
4. ### math

a baseball team buys 15 bats for \$405. aluminum bats cost \$25 and wooden bats cost \$30. how many of each type did they buy?
5. ### math, inequalties

THIS SEASON, NORA HAS 125 AT BATS IN SOFTBALL. BY THE END OF THE SEASON SHE WANTS TO HAVE AT LEAST 140 AT BATS. HOW MANY MORE AT BATS DOES NORA NEED TO REACH HER GOAL?
6. ### stat

the number of mosquitoes that brown bats can eat in an hour has a mean of 600 and a standard deviation of 200. a study observed a random sample of 80 little brown bats. hat is the minimum no. of mosquitoes that the upper 25% of little …
7. ### Statistics

The world’s smallest mammal is the bumblebee bat. Such bats are roughly the same size of a large bumblebee. Listed below are the weights (in grams) from a sample of these bats. Assuming that all such bats have a standard deviation …
8. ### Algebra

Two players have the same batting average. Player 1 At bats: 132 Hits: 45 Player 2 At bats: 32 Hits: 45 Player 1 gets four hits in the next five at bats. Player 2 gets three hits in the next three at bats. Who has the higher batting …
9. ### math

Scientists randomly caught 30 fruit bats at an orchard. They tagged the fruit  bats and then released them. Several weeks later, they captured 20 fruit bats at the same location. They found that 4 of those fruit bats  …
10. ### ELA

Which italicized word in the sentence is an adjective?

More Similar Questions