Mathematics, 18.03.2020 19:05 tatielder4896

Joyce has between 25 to 75 coloured beads. when she makes them into groups of 9, 8 beads are left out. when she groups into groups of 8, 6 beads are left out, how many beads are left

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Answer from: alex8366

Joyce has total 62 colored beads.

Step-by-step explanation:

For making groups of 9, let the number of beads be x.

total beads = 9x + 8

For making groups of 8, let the number of beads be y.

total beads = 8y + 6

As the total number of beads in both cases are same so,

9x + 8= 8y + 6

or, 9x-8y = -2

Now lets check the values through hit and trial;

First check; x=6, y=7

9*6 - 8*7 = -2

or, 54- 56 = -2

or, -2 =-2

This satisfies our equation.

Hence; Total beads = 9*6 + 8 = 62

The total number of beads joyce had is 62.

Answer from: changemyfate69

Number of beads she have is 62 .

Step-by-step explanation:

Here we have , joyce has between 25 to 75 colored beads. when she makes them into groups of 9, 8 beads are left out. when she groups into groups of 8, We need to find how many beads are left . Let's solve this:

when she makes them into groups of 9, 8 beads are left out equation is

9x+8

when she groups into groups of 8 , 6 beads are left out, equation is

8y+6

Equating both equation's we get:

⇒ 9x+8 = 8y+6

⇒ 9x-8y = -2

By hit & trial method , we put x = 6 & y=7:

⇒ 9(6)-8(7) = -2

⇒ 54-56= -2

⇒ -2= -2

Since , LHS = RHS x = 6 & y=7 satisfies the equation 9x+8 = 8y+6 . So putting value of x=6 in 9x+8 we get:

⇒ 9x+8

⇒ 54+8

⇒

Therefore, Number of beads she have is 62 .

Answer from: Quest

step-by-step explanation:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since 2010 0 1 2 3 4 5

profits made in 1000's 39 84 111 120 111 84

we find that profit gradually increases form 2010 to 2013 upto 120, then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

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Joyce has between 25 to 75 coloured beads. when she makes them into groups of 9, 8 beads are left ou...