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#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?

Respuesta :

Answer:

#18 is $160

Step-by-step explanation:

#18

=500 x 3 +500

=1500+500

=2000

=200/5 x 4

=40 x 4

= $160

Answer:

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.

Step-by-step 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 = [tex]3(500)=1500[/tex]

Total manufacture on Saturday and Sunday is [tex]500+1500=2000[/tex]

She sold 5 muffins for $4.

She sold 1 muffin for [tex]\frac{4}{5}[/tex].

She sold 2000 muffin for [tex]\frac{4}{5}\times 2000[/tex].

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.

[tex]x = y + 80[/tex]   .....(1)

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

[tex]x - 30 = 2y[/tex]    .....(2)

Substitute the value of x in (2),

[tex]y+80 - 30 = 2y[/tex]

[tex]y=50[/tex]

Substitute in equation (1),

[tex]x =50+ 80[/tex]

[tex]x=130[/tex]

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

[tex]\$130 + \$50 = \$180[/tex]

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