Respuesta :
Answer:
16%
Step-by-step explanation:
GIVEN: A sports shop sold [tex]5000[/tex] baseball cards this year in a four month period from the 1st of April until the end of July. [tex]30\%[/tex] of the cards were sold in the month of May. There were [tex]300[/tex] more cards sold during June than in July and [tex]400[/tex] less cards were sold during April compared to July.
TO FIND: What percentage of cards were sold in April What percentage of cards were sold in April.
SOLUTION:
Total cards sold [tex]=5000[/tex]
Let total cards sold in July be [tex]x[/tex]
According to question
Cards sold in June [tex]=300+x[/tex]
Cards sold in April [tex]=x-400[/tex]
Total cards sold in may [tex]=30\%\ of\ 5000=\frac{30}{100}\times5000[/tex]
[tex]=1500[/tex]
Total cards sold [tex]=x+300+x+x-400+1500=5000[/tex]
[tex]\therefore 3x=3600\implies x=1200[/tex]
cards sold in April [tex]=x-400=1200-400\implies x=800[/tex]
percentage of cards sold in April [tex]=\frac{\text{cards sold in April}}{\text{total cards}}\times100[/tex]
[tex]=\frac{800}{5000}\times100=16\%[/tex]
Hence 16% of total cards were sold in April
