Question

A little bug ate 135 tiny flies in 5 days. Each day, it ate 10 more flies than it did on the previous day. How many small flies had the bug eaten 1) after three days? 2) after 4 days?​

Answer 1

Answer:

 95on the 1st day

105 on the second day

so on the third day he at 115

and the forth day he ate 125

135 on the five day

Step-by-step explanation:

Answer 2

A little bug ate 135 tiny flies in 5 days. Each day, it ate 10 more flies than it did on the previous day. How many small flies had the bug eaten 1) after three days? 2) after 4 days? .

• Total number of flies ate in 5 days is 135 .

• Each day 10 more flies are ate than the previous day .

• flies eaten after 3 days ?

• flies eaten after 4 days ?

• let the number flies eaten on first day be "x"

• The number of flies eaten on second day = x + 10 .

• The number of flies eaten on third day = x + 10 + 10 that is x + 20

• The number of flies eaten on fourth day = x + 10 + 10 + 10 that is x + 30

• The number of flies eaten on fifth day = x + 10 + 10 + 10 + 10 that is x + 40 .

As number of flies eaten on all five days is 135 .

Equation Formed :

$\longrightarrow\sf{x + x + 10 + x + 20 + x + 30 + x + 40 = 135 }$

$\longrightarrow\sf{5x + 10 + 20 + 30 + 40 = 135 }$

$\longrightarrow\sf{5x + 30 + 30 + 40 = 135 }$

$\longrightarrow\sf{5x + 60 + 40 = 135 }$

$\longrightarrow\sf{5x + 100 = 135 }$

$\longrightarrow\sf{5x = 135 - 100}$

$\longrightarrow\sf{5x = 35}$

$\longrightarrow\sf{x = \dfrac{35}{5}}$

$\longrightarrow\sf{x = 7}$

Therefore he ate 7 flies on first day .

Number of flies eaten after three days = flies eaten on first day + second day + third day .

$\longrightarrow\sf{ 7 + 7 + 10 + 7 + 20 }$

$\longrightarrow\sf{ 14 + 17 + 20}$

$\longrightarrow\sf{ 31 + 20}$

$\longrightarrow\sf{ 51}$

Therefore he has eaten 51 flies after three days .

Number of flies eaten after 4 days = flies eaten on first day + flies eaten on second day + flies eaten on third day + flies eaten on fourth day .

$\longrightarrow\sf{ 7 + 7 + 10 + 7 + 20 + 7 + 30 }$

$\longrightarrow\sf{ 14 + 17 + 27 + 30}$

$\longrightarrow\sf{ 88 }$

Therefore he has eaten 88 flies after four days .