# Jane has scored the following marks on the first 5 exams: 65,70,55,87,87. What is the minimum score she must achieve on the last exam if she is to reach her target of a 70% average?

Kevin Charles 2022-10-19 Answered
Jane has scored the following marks on the first 5 exams: 65,70,55,87,87. What is the minimum score she must achieve on the last exam if she is to reach her target of a 70% average?
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wespee0
$70=\frac{359+x}{6}$
420=359+x
x=61
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Stephany Wilkins
$\text{Mean}=\frac{\text{Total}}{\text{Number}}$
From this we can calculate the Total by multiplying:
$\text{Total}=\text{Mean}×\text{Number}$
If the average for 6 exams must be 70, the total for all 6 exams must be:
$T=6×70=420$
Jane's total after 5 exams is: $60+70+55+82+87=359$
Therefore in the last exam she should score a mark of at least:
$420-359=61$
$\frac{60+70+55+82+87+61}{6}=70$