Question

#18 Mrs. Rothberg baked 500 muffins on Saturday and 3 times as many muffins on Sunday. If the sold 5 muffins for $4, how much would she earn by selling her muffins on both days?

#19 Jack had $80 more than Eric. When Jack spent $30, he found that the amount of money he had left was twice as much as what Eric had. How much did the boys have altogether in the beginning?

Answer 1

#18 is $160

Explanation:

#18

=500 x 3 +500

=1500+500

=2000

=200/5 x 4

=40 x 4

= $160

Answer 2

1) She earn $1600 by selling her 2000 muffins on both days.

2) The amount of money boys have altogether in the beginning is $180.

Explanation:

1) Given : Mrs. Rothberg baked 500 muffins on Saturday and 3 times as many muffins on Sunday. If the sold 5 muffins for $4.

To find : How much would she earn by selling her muffins on both days?

Solution :

On Saturday she manufacture = 500

On Sunday she manufacture =
`3(500)=1500`

Total manufacture on Saturday and Sunday is
`500+1500=2000`

She sold 5 muffins for $4.

She sold 1 muffin for
`(4)/(5)`.

She sold 2000 muffin for
`(4)/(5)* 2000`.

She sold 2000 muffin for $1600.

Therefore, she earn $1600 by selling her 2000 muffins on both days.

2) Given : Jack had $80 more than Eric. When Jack spent $30, he found that the amount of money he had left was twice as much as what Eric had.

To find : How much did the boys have altogether in the beginning?

Solution :

Let amount of money Jack has 'x'.

The amount of money Eric has 'y'.

According to question,

Jack had $80 more than Eric.

`x = y + 80` .....(1)

When Jack spent $30, he found that the amount of money he had left was twice as much as what Eric had.

`x - 30 = 2y` .....(2)

Substitute the value of x in (2),

`y+80 - 30 = 2y`

`y=50`

Substitute in equation (1),

`x =50+ 80`

`x=130`

The amount of money the boys have altogether in the beginning is

`\$130 + \$50 = \$180`

Therefore, the amount of money boys have altogether in the beginning is $180.