Give an example of an equation with an infinite number of solutions. Then make one change to the equation so that it has no solu
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Sarah has received £ 294
<u><em>Solution:</em></u>
Given that £980 is divided between Caroline, Sarah & Gavyn
Let "c" be the amount received by caroline
Let "s" be the amount received by sarah
Let "g" be the amount received by gavyn
<em><u>Caroline gets twice as much as Sarah</u></em>
amount received by caroline = twice as much as Sarah
amount received by caroline = 2(amount received by sarah)
c = 2s ---- eqn 1
<em><u>Sarah gets three times as much as Gavyn</u></em>
amount received by sarah = three times as much as Gavyn
amount received by sarah = 3(amount received by gavyn)
s = 3g ------- eqn 2
Given that total amount is 980
c + s + g = 980 --- eqn 3
<em><u>Let us solve eqn 1, 2, 3 to get values of "c" "s" "g"</u></em>
From eqn 2,
--- eqn 4
Substitute eqn 1 and eqn 4 in eqn 3
Thus sarah has received £ 294