Question

1. marty had 10 pens. four of these pens were blue. what is one way to show the ratio of blue pens to the total number of pens marty had?

\\(\frac{2}{5}\\)
\\(\frac{3}{2}\\)
\\(\frac{2}{3}\\)
\\(\frac{5}{2}\\)

1. lydia had 345 cans to divide evenly into 15 boxes. if she put the same number of cans in each box, how many cans were in each box?

23.5 cans

Explanation:

Step1: Find blue-to-total pen ratio

$\frac{\text{Blue pens}}{\text{Total pens}} = \frac{4}{10}$

Step2: Simplify the fraction

$\frac{4 \div 2}{10 \div 2} = \frac{2}{5}$

Step3: Calculate cans per box

$\frac{\text{Total cans}}{\text{Number of boxes}} = \frac{345}{15}$

Step4: Compute the division

$345 \div 15 = 23$

Answer:

1. $\frac{2}{5}$
2. 23 cans