Is 0.625 a number that repeats or a number that terminates
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We have two equations:
3a + 2b = 7
2a + 2b = 9
We need to solve simultaneously to find the values of a and b
eq.1 3a + 2b = 7
eq.2 ( 2a + 2b = 9 ) x -1 ) multiply by -1 to cancel 2b
3a + 2b = 7
- 2a - 2b = -9 ( Add both together )
-------------------
a = - 2
Substitute the value you found for a in a in order to find b
3( - 2 ) + 2b = 7 2( - 2 ) + 2b = 9
- 6 + 2b = 7 OR - 4 + 2b = 9
2b = 13 2b = 13
b =
b =
We have two equations:
3a + 2b = 7
2a + 2b = 9
We need to solve simultaneously to find the values of a and b
eq.1 3a + 2b = 7
eq.2 ( 2a + 2b = 9 ) x -1 ) multiply by -1 to cancel 2b
3a + 2b = 7
- 2a - 2b = -9 ( Add both together )
-------------------
a = - 2
Substitute the value you found for a in a in order to find b
3( - 2 ) + 2b = 7 2( - 2 ) + 2b = 9
- 6 + 2b = 7 OR - 4 + 2b = 9
2b = 13 2b = 13
b =
The baker bought 7 gala apples, and 12 granny smiths apples
<em><u>Solution:</u></em>
Let "x" be the number of gala apples bought
Let "y" be the number of granny smith apples bought
Cost of 1 gala apple = $ 0.30
Cost of 1 granny smith apple = $ 0.25
<em><u>A baker buys 19 apples of two different varieties to make pies</u></em>
Therefore,
number of gala apples bought + number of granny smith apples bought = 19
x + y = 19 --------- eqn 1
<em><u>The total cost of the apples is $5.10</u></em>
Therefore, we can frame a equation as:
number of gala apples bought x Cost of 1 gala apple + number of granny smith apples bought x Cost of 1 granny smith apple = 5.10
0.3x + 0.25y = 5.1 -------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
From eqn 1,
x = 19 - y ---------- eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
0.3(19 - y) + 0.25y = 5.1
5.7 - 0.3y + 0.25y = 5.1
5.7 - 0.05y = 5.1
0.05y = 5.7 - 5.1
0.05y = 0.6
y = 12
<em><u>Substitute y = 12 in eqn 3</u></em>
x = 19 - 12
x = 7
Thus the baker bought 7 gala apples, and 12 granny smiths apples