# Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on the beach. Katie can use fractions of days to find seashells. Write an inequality to determine the number of days, dd, it will take Katie to collect over 100 seashells.

Katie won't have more than 100 seashells until the 6th day.

Step-by-step explanation:

No. of seashells to be collected = 100

Initial number of seashells in the collection = 34

No, of seashells found each day = 12

So, number of seashells collected in d days = 12·d

Total number of seashells collected after d days = 34 + 12·d

Number of days needed by Katie to save more than 100 seashells :

34 + 12·d > 100

Subtracting 34 from both the sides

⇒ 12·d > 66

⇒ d > 5.5

Hence, Katie won't have more than 100 seashells until the 6th day.

Step-by-step explanation:  Given that Katie wants to collect more than 100 seashells. She already has 34 seashells in her collection and she finds 12 more seashells on the beach every day. Katie can use fractions of days to find seashells.

The number of days is represented by 'd', which Katie will take to collect over 100 seashells.

The number of seashells Katie will collect in 'd' days will be given by

Since she needs to collect more than 100 seashells, so we have

100." alt="34+12\times d> 100." align="absmiddle" class="latex-formula">

After solving,

100\\\\\Rightarrow 12d> 100-34\\\\\Rightarrow 12d> 66\\\\\\\Rightarrow d>5\dfrac{1}{2}." alt="34+12d> 100\\\\\Rightarrow 12d> 100-34\\\\\Rightarrow 12d> 66\\\\\\\Rightarrow d>5\dfrac{1}{2}." align="absmiddle" class="latex-formula">

Thus, Katie will need to collect seashells for more than 5.5 days. and the required inequality is

100." alt="34+12d> 100." align="absmiddle" class="latex-formula">

## Related Questions

How to reduce 10/4 i don’t know how to

answer: 10/4 reduced is 2.5/1 or 2.5.

work: what we are doing is trying to divide ten into groups of four. how many times does 10 fit into four? well, look at the multiples of four, 4, 8, 12... we can see that 8 fits into ten, but 12 doesn't. that means two whole fours can fit into ten (since 4 x 2 = 8) so we still have a  2 left over from the ten. since 2 is one half of four, we can fit in another .5. so, ten can be fit into 2.5 groups. hope this helps, have a great day!

10 and 4 are both divisible by 2. so divide 10 by two and you would get 5 but what you do to the top you do to the bottom. so divide 4 by 2 and you get 5/2 or 2 1/2

Twenty less than 8times a number is the same as 15more than the number

25b=26=36-8=wmwmwwe
wwjwsjwsjjsd

Whats the midpoint between .02 and .03

0.2 1/2 because it is closes to two \$o yeah.
0.025 is half way between .02&.03

a bucket holds 243.5 oz of water. The bucket loses 0.3 oz of water per second.In how many seconds will the bucket be 40% full

Ok so
t=time in seconds
therefor the smount lost for t seconds is 0.3 ties t or 0.3t
loss so it is ngative
-0.3t
the question is
243.5-0.3t=40% of 243.5
first, find 40% of 243.5
percent means partst out of 100 so
40%=40/100=0.4
'of' means multiply
40% of 243.5=0.4 ties 243.5=97.4
now the question is
243.5-0.3t=97.4
for ease, multiply whole equation by 10 to make no decimals
2435-3t=974
subtract 2435 from b oth sides
-3t=-1461
divide both sides by -3
t=487

answer is 487 seconds (aka 8 mins, 7 secons)