Answer :
Answer:
she can skip 15 days and she will take 45 days for this work
Step-by-step explanation:
total blankets to crochet =3
speed of work per day = 1/15 blanket per day
total time in days she have = 60 days
No of days she had=60
number of days required to complete the work = ?
so 1/15 blanket she made = 1 day
1 blanket she made = 1 x 1/15
3 blanket she made =1 x 1/15 x 3 = 15 x 3 = 45 days
So she will do it 45 days.
days can be skipped = 60-45=15 days
Darcie must crochet every day to donate 333 blankets in 60 days, no days can be skipped.
To calculate how many days Darcie can skip crocheting while still reaching her goal of 333 blankets donated, we can set up an equation.
Let [tex]\( x \)[/tex] be the number of days Darcie skips crocheting.
The total number of blankets Darcie crochets in [tex]\( 60 \) days is \( \dfrac{1}{15} \times 60 = 4 \)[/tex] blankets.
So, the equation becomes:
[tex]\[ 4 + \left( \dfrac{1}{15} \times (60 - x) \right) \geq 333 \][/tex]
Let's solve for [tex]\( x \):[/tex]
[tex]\[ 4 + \left( \dfrac{1}{15} \times (60 - x) \right) \geq 333 \][/tex]
[tex]\[ \dfrac{60 - x}{15} \geq 329 \][/tex]
[tex]\[ 60 - x \geq 329 \times 15 \][/tex]
[tex]\[ 60 - x \geq 4935 \][/tex]
[tex]\[ x \leq 60 - 4935 \][/tex]
[tex]\[ x \leq -4875 \][/tex]
[tex]\[ x \leq -4875 \][/tex]
However, [tex]\( x \)[/tex] represents the number of days Darcie can skip crocheting, so it cannot be negative. This means Darcie cannot skip negative 4875 days of crocheting.
In practical terms, Darcie needs to crochet every day or as close to every day as possible to reach her goal of 333 blankets in 60 days.
