Susan has a piggy bank with 28 coins in it, all dimes and quarters. She has been collecting state quarters and so far has no rep

Question

3 years ago

10

Susan has a piggy bank with 28 coins in it, all dimes and quarters. She has been collecting state quarters and so far has no rep

eats. If the piggy bank has $5.50. how many more quarters does Susan need before she has a quarter from each of the 50 states?
HELP I WILL GIVE POINTS AND BRAINLIEST

Mathematics

1 answer:

KatRina [158] · Answer 1 · 2022-10-20T11:05:06+03:00

Answer:

She needs 32 quarters.

Step-by-step explanation:

d = dime q = quarters

d + q = 28 so d = 28-q

0.1d + 0.25q = 5.50

0.10 * (28-q) + 0.25q = 5.50

2.80 - 0.10q + 0.25q = 5.50

0.15q = 5.50 - 2.80

0.15q = 2.70

q = 2.70 / 0.15

q = 18 quarters (she has)

50-18= 32 quarters (she needs)